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Solving Quadratic Equations

Completing the Square Factoring Using Quadratic Formula

Jon Kathman

on 14 September 2012

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Transcript of Solving Quadratic Equations

Step by Step Solutions by Jon Kathman Solving Quadratic Equations Quadratic Equations, also known shortly as quadratics look a little like this... What do Quadratic Equations Look Like? Starting with Completing the Square Method Let's Begin Solving Begin by moving "c" to the other side of the equals sign. Next divide the equation by "a" term... Take half of the new "b" term and square it. Now take the square and add it to both sides of the equals sign... Completing the Square Cont... Convert the left hand side to squared form, and simplify the right side... Square Root both sides and simplify...
DO NOT FORGET SIGN... Finally solve for "x" Step 1) Create a factor chart for all factor pairs of "c" Factoring Quadratic Equations Step 2) Out of all of the factor pairs from step 1, look for the pair (if it exists) that add up to "b"

Note: if the pair does not exist, you must either complete the square or use the quadratic formula .
In which case click home and click step 7. Factoring Quadratic Equations Cont... Insert the pair you found in step 2 into two binomals

Solve each binomial for zero to get the solutions of the quadratic equation. This is one of the quickest methods Solving Quadratics with the Quadratic Formula -16 -2&8,2&8,-4&4 -2+8=6=b Simply plug in the numbers that are in the "a", "b", and "c" values Solution is..
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