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Completing the square
Given the quadratic equation f(x)= 1-8x+2x^2, the completing the square method was used to rewrite it in the form of (x-h)^2 + k, where h and k are constants. The steps were to make sure the equation began with x^2 only, then complete the square of the term with x, and finally rewrite the equation ignoring the linear term as (x-2)^2 - 7.
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Completing the square
- 1. EXAMPLE: Given a quadraticequation f(x)= 1-8x+2x². Use the completing the square method for this equation. 2x²-8x+1 Make sure the -(-2)+1 equation begin 2 2(x²-4x+1) with “x²” only and that is how u get 2 7 2 2(x²-4x+(-2)-(-2)+ 1) 2 2((x-2)²- 7) Always complete the square with 2 this: x²+bx+(b/2)-(b/2)+c 2(x-2)²-7 7 Form the equation by ignoring 2 -4x. is multiplied by 2