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How To: Complete the square

Quadratic equations are easy to solve when they can be factorized. This video teaches another method of solving a quadratic equation when its not easy to find factors for it.

How To: Factor out when doing rational expressions in algebra

This video shows the method to simplify rational expressions. The example used in the video is multiple of 4 and x square plus multiple of 4 and x plus 1 or (4x^2 + 4x + 1)/(2x^3 + 11x^2 + 5x). As the first and last term is a perfect square we get the simplified numerator as (2x + 1)(2x + 1). Next, the denominator is simplified. Taking the common factor out we get x(2x^2 + 11x + 5). Now we factorize 2x^2 + 11x + 5. We get (2x + 1)(x + 5 ). Now, writing the terms in numerator and denominator w...

How To: Solve exponential and logarithmic equations

In this video tutorial the instructor shows how to solve exponential and logarithmic equations. Solving exponential equations can become very difficult if it involves large numbers. To solve these kinds of complex equations you need to get all the numbers to the same base number. The base number raised to some number should give you your original number. Now if you write the numbers as exponents of your base number you can directly equate the exponent part and solve for the missing variable. ...

How To: Factor a trinomial, GCF, then unfoil

In this video the instructor shows how to factor a polynomial. A polynomial having three terms is called as trinomial. Now if you factor it you will obtain two binomials whose product will be the original polynomial. Before factoring a polynomial you need to find out if the polynomial has a GCF. Look out for the common variables in all the three terms and pull them out which is the GCF of the polynomial. This simplifies the original equation to a polynomial which is of lower degree. Now facto...

How To: Graph quadratic equations

In this video, the instructor shows you how to graph quadratic equations. When you have a quadratic equation in terms of x and y, first try to identify the coefficients of the terms. Now use front end of the quadratic formula to find the line of symmetry which is the first half of the vertex using the formula x = -b/2a. This gives the line of symmetry. Next, plot the line using a few points starting at the line of symmetry. Take sample values of x and find the corresponding values of y on eit...

How To: Solve word problems with proportions

In this video the instructor shows how to use proportions to solve fractions. When you have a proportions problem with an unknown term, cross multiply and divide it to get the value of that unknown term. For example if given 7/8 = m/4, cross multiply 7/8 with 4, giving 7/2 which is the value of the unknown variable m. So if two quantities are proportionate then you can equate them as shown in the video and cross multiply to get the value of any unknown variable. Proportions are just fractions...

How To: Factor trinomials in a very simple way

In this video, they demonstrate how to factor a trinomial. A trinomial is a polynomial with a quadratic term in the form, ax^2+bx+c. To factor this polynomial first multiply the a and c term. You must fine two numbers that multiply to a*c and add up to b. Once you have figured out the two numbers you place the two numbers (D and E for example) in the equation (1/a)(ax+D)(ax+E). It takes a bit of practice to be good at deciding what D and E are, but the best way is to make sure that D*E = a*c ...

How To: Solve percent equations

In this tutorial the instructor shows how to solve percent equations. The general form of a percent equations is that a is b% of c. As there can be three kinds of variables a, b, c, the questions involving percent equations can be of three types having one of the three variables unknown. These kind of percent statements can be solved easily by setting up an equation. So, to convert percent statement into a equation replace the unknown term with n, the 'is' term with equals sign and the '%' si...

How To: Solve rational equations

In this video the instructor shows how to solve rational equations. If you have fractions in your equation, then you need to factorize the denominators first. Now compute the least common denominator of all the denominators of the fraction. Next multiply both sides of the equation with the least common denominator. This cancels out all the denominators of all the fractions and you are left with a linear equation. Now simply multiply the remaining terms in the numerator and add common terms to...

How To: Find the equation of a circle given: center & tangent

In this video, the instructor shows how to find the equation of a circle given its center point and a tangent line to it. To do this, take a graph and plot the given point and the tangent on that graph. Now, from the center of the circle, measure the perpendicular distance to the tangent line. This gives us the radius of the circle. Using the center point and the radius, you can find the equation of the circle using the general circle formula (x-h)*(x-h) + (y-k)*(y-k) = r*r, where (h,k) is th...

How To: Divide rational expressions

In this video the instructor shows how to divide rational expressions. To divide rational expressions follow this simple four step approach. In the fist step change the division to multiplication by flipping the second fraction. Now the original division simplifies to multiplication. In the second step factor the terms of numerators and denominators in the two fractions. In the third step cancel the common terms in the numerator and the denominator. Now finally in the fourth step multiply all...

How To: Prove some random trigonometric identities

This video shows the method to prove some trigonometric identities. This involves the use of algebra and knowledge of basic trigonometric identities. The video demonstrates three examples to illustrate this problem and its solution. The first problem shows a relatively simple problem involving sines and cosines. The video shows some basic algebra steps to simplify the problem and prove the identities. The second example involves a slightly complicated problem involving square of combination o...

How To: Add & subtract fractions

This is a video that teaches how to add and subtract fractions. For fractions that have like denominators, you simply add the numerator and keep the denominator. Next, you reduce the fraction to its lowest term.

How To: Solve an equation by the distributive property

In this simple tutorial the tutor shows how to solve equation by the distributive property. He states that when there is a number which is multiplied to a full equation, we have to multiply each and every term of that equation by that multiplying number. This is called the distributive property as the value is distributed to each and every term inside the equation. He goes on and solves a problem based on this property to give a clear idea of the property. This video shows how to solve equati...

How To: Divide similar radicals

While dividing the radicals, the numerator and the denominator must be combined into a single term, for example if we want to divide square root of 3 by square root of seven we need to combine the numerator and denominator into a single factor that is square root of 3/7, then we can divide 3/7 which is 0.4285, and square root of 0.4285 is 0.654 which is the final answer.

How To: Understand Tagalog grammar terms

This how to video describes how to understand and use Tagalog grammar terms properly. The author suggests reading the book "Conversational Tagalog" to help increase your basic understanding of the language. He then covers the use of verbs and other grammatical devices in the Tagalog language. This video is perfect for those who are studying the Tagalog language or for those who need a quick refresher. The video lasts about eight and a half minuets and leaves you with a better understanding of...

Octodad: An Award Winning Game… From College Students

Fatherhood is difficult, especially when you're an octopus. That is the moral of the 2011 IGF Student Showcase winner Octodad, available for free from its website. This hilarious little title was created by a team of interactive media students at DePaul University in Chicago, and is the latest in a stream of successful indie games to come out of collegiate video game design programs. In fact, it's so successful that a sequel is in the works.

News: Has SimCity Been Destroyed for Good?

Yesterday, Electronic Arts had a nice sale on Steam for 40-60 percent off some of their Sims titles, which included The Sims 3 (along with its DLCs) and SimCity 4. I've never been a big Sims fan, especially with the slew of virtual people games in the last decade, so I didn't realize until now that Maxis had stopped making their SimCity games; They haven't released any city building Sim games since SimCity 4 eight years ago. There was SimCity Societies in 2007, but it was made by a different ...

Raspberry Pi: Physical Backdoor Part 1

This tutorial is one technique to use the full functionality of your Pi. The small size makes it ideal for inside hacks, but still has the capabilities of a average desktop or computer. I should mention that a tutorial that OTW has done, but I'm gonna take it a step further. OTW made a brilliant article, but only touched on the surface of the possibilities. I hope this article will both show you many the possibilities and also allow you to start causing havoc, but I'm planning on making this ...

How To: Make Your Second Marriage Last

Many people ultimately remarry when their first marriage eds in divorce or had mistakes written all over it. The choices you made do affect you future relationships and it is up to notice these and correct those problems so it does not happen in your next committed relationship. Learning Reasons Why Your First Marriage Culminated in Divorce

Hack Like a Pro: How to Cover Your Tracks So You Aren't Detected

Welcome back, my greenhorn hackers! Congratulations on your successful hack that saved the world from nuclear annihilation from our little, bellicose, Twinkie-eating dictator. The rest of world may not know what you did, but I do. Good job! Now that we hacked into the malevolent dictator's computer and temporarily disabled his nuclear launch capability, we have to think about covering our tracks so that he and his minions can't track our good works back to us.