I am having trouble trying to solve quadratic equations by completing the square.
If you have a quadratic equation such as ax2 + 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: ax2 + bx = - c
2. if a ≠ 1, then divide through by a. If a = 1, then skip this step: x2 + (b/a)x = - c/a
3. 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.
x2 + (b/a)x + (b/(2a))2 = - c/a + (b/(2a))2
4. 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!!