How do we complete the square with questions involving a number stuck with the x-squared?

Let me show you an example:Complete the square for the following equation....4x2+ 8x - 91) Divide the whole equation by 4, as this is the easiest way to make things simple. It allows us to complete the square in a much simpler format.(4x2+ 8x - 9) / 4 = x2+ 2x - 9/42) With this equation, complete the square.x2+ 2x - 9/4 —> (x+1)2-9/4-1 = (x+1)2-13/43) Now simply multiply all components by 4, to get the final answer.( (x+1)2-13/4 ) x 4 = 4(x+1)2 - 13The final answer to this tricky question is 4(x+1)2- 13 :)

DS
Answered by Dhruv S. Maths tutor

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