I am having trouble trying to solve quadratic equations by completing the square.

If you have a quadratic equation such as ax

^{2}+ bx + c = 0 and you want to solve it by completing the square, you can by following the steps:1. subtract c (or add if c is negative) from each side of the equation giving: ax

^{2}+ bx = - c2. if a ≠ 1, then divide through by a. If a = 1, then skip this step: x

^{2}+ (b/a)x = - c/a3. the missing term needed to complete the square is based on the coefficient for the

*x*term. (b/a) 3a. take half of this term and square it. (b/a)/2 -> b/(2a) ... and now square it.... (b/(2a))

^{2} 3b. this is the number to add to both sides of the equation.

x

^{2}+ (b/a)x + (b/(2a))2 = - c/a + (b/(2a))24. once you factor the expression on the left you will have a perfect square (x + b/2a)

^{2}and on the right...the rest will reduce to some number.5. Celebrate your successful completion of the square!!

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