## At A Glance

### The Quadratic Formula - Satisfying Conditions

Bestselling Learn Guitar on Android! http://bit.ly/LearnGuitarAndroid Allison Moffett, host of the Mahalo Math Channel, offers instruction about the quadratic formula. Allison discusses how, in order to use the quadratic formula to solve a quadratic equation, the equation must satisfy the condition that it appears in the form: ax^2 + bx + c = 0, where "a" cannot equal 0. The Quadratic Formula: Satisfying Conditions --------------------------------------------------------------------- In mathematics, the quadratic formula is a way of solving quadratic equations.http://www.youtube.com/watch?v=y6NoigLKBqQ?Quadratic equations are equations with an x^2 term, which appear as parabolas when graphed.http://www.youtube.com/watch?v=y6NoigLKBqQ?The solutions of a quadratic equation are the points on a graph where the parabola intersects the axis.?? The quadratic formula states that x = (-b ± √(b^2 - 4ac)) / 2a. http://www.youtube.com/watch?v=y6NoigLKBqQ?But this is only true under the condition that your quadratic equation exists in the form ax^2 + bx + c = 0, where "a" cannot equal 0.http://www.youtube.com/watch?v=y6NoigLKBqQ?In this equation, x is the variable and the numbers a, b, and c are called coefficients.http://www.purplemath.com/modules/quadform.htm?? Step 1: Determine If Your Equation Satisfies the Condition --------------------------------------------------------------------- The quadratic formula may only be applied if your quadratic equation appears in the form ax^2 + bx + c = 0.http://www.youtube.com/watch?v=y6NoigLKBqQ?Given the equation ?x^2 = 3x - 5, you must first determine whether or not it satisfies the condition for using the quadratic formula.http://www.youtube.com/watch?v=EG9_-1strY4?This equation does not satisfy the condition as all the terms are not on one side and the equation is not set equal to zero.http://www.youtube.com/watch?v=EG9_-1strY4??? ? Step 2: Make Your Equation Satisfy the Condition --------------------------------------------------------------------- As x^2 = 3x - 5 is not in the proper form for applying the quadratic equation, you must adjust it so that it does satisfy the condition. To do so, you must get all the terms to one side, creating an equation whose solution is 0.? First, you may subtract 3x from each side of the equation. Your equation would now read: x^2 - 3x = 3x - 3x -5. This may be simplified to x^2 - 3x = -5. http://www.youtube.com/watch?v=EG9_-1strY4? Next, you must add 5 to each side. Now your equation reads x^2 - 3x + 5 = -5 + 5. This may be simplified to x^2 - 3x + 5 = 0. http://www.youtube.com/watch?v=EG9_-1strY4?? Step 3: Identify Your Coefficients --------------------------------------------------------------------- Now you have a quadratic equation with all terms to one side and a solution of zero. You must identify your coefficients (a, b, and c) for use in the quadratic formula. http://www.youtube.com/watch?v=EG9_-1strY4?? In the equation x^2 - 3x + 5 = 0, a is, in fact, the number 1.?Coefficient b is -3 and c is 5. http://www.youtube.com/watch?v=EG9_-1strY4?? Once you have identified the coefficients, you may use them in the quadratic formula to find out the value(s) of x. http://www.purplemath.com/modules/quadform.htm??? Read more by visiting our page at: http://www.mahalo.com/the-quadratic-formula-satisfying-conditions/
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