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Completing The Square

This is completing the square on 'roids.

Completing the Square Warmup

         

\[x^2 + 8x + 16 = (x + B)^2 \]

What is the value of \(B?\)

Which of the following is equivalent to \[ x^2 + 6x + 10? \]

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

What are the solutions of

\[x^2 + 8x + 7 = 0?\]

\[(x - 3)^2 = 25\]

What are the solutions to this equation?

Hint:

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

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