Algebra

Completing The Square Generalized

Completing the Square Warmup

         

x2+8x+16=(x+B)2x^2 + 8x + 16 = (x + B)^2

What is the value of B?B?

Which of the following is equivalent to x2+6x+10? x^2 + 6x + 10?

Given that the green portion is a square, what is its area?

What are the solutions of

x2+8x+7=0?x^2 + 8x + 7 = 0?

(x3)2=25(x - 3)^2 = 25

What are the solutions to this equation?

Hint:

(x3)2=±25\sqrt{(x - 3)^2} = \pm \sqrt{25}

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