Question

8x^2+8x-22 In (x-p)^2=q

Answer 1

The given function 8x^2+8x-22 rewritten using the completing the square method is (x+1/2)^2 = 3

Completing the square method

By altering the equation's form so that the left side is a perfect square trinomial, a quadratic equation can be solved using the "Completing the Square" approach.

Given the quadratic equation below;

8x^2+8x-22 = 0

This can be simplified into the equation below;

8x^2+8x-22 = 0

4x^2+4x-11 = 0

Add 11 to both sides of the equation

4x^2+4x-11 + 11= 0 + 11

4x^2+4x = 11

Factor out 4x from the expression;

4(x^2+1) = 11

(x+1/2)^2 = 11/4 + 1/4

(x+1/2)^2 = 12/4

(x+1/2)^2 = 3

Hence the expression in the form of (x-p)^2=q is (x+1/2)^2 = 3

Learn more on completing the square here: brainly.com/question/13981588

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