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Completing The Square Generalized

Concept Quizzes

Completing the Square Warmup
Completing the Square - Multiple Variables
Completing the Square - Higher Degree Polynomials

Challenge Quizzes

Completing the Square: Level 5 Challenges

Completing the Square Warmup

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

What is the value of $B?$

-4 2 4 8

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by Brilliant Staff

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

(x - 2)^2 + 6

(x + 2)^2 + 6

(x - 3)^2 + 1

(x + 3)^2 + 1

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by Brilliant Staff

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

\frac{b^2}{2}

\frac{b^2}{4}

\frac{b}{2}

\frac{b}{4}

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by Brilliant Staff

What are the solutions of

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

-4 \pm 3

-3 \pm 4

-8 \pm 7

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by Brilliant Staff

$(x - 3)^2 = 25$

What are the solutions to this equation?

Hint:

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

3 \pm 5

\frac{-3 \pm \sqrt{13}}{2}

5 \pm 3

Show explanation

by Brilliant Staff

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