Question what-v

2.2 Nonlinear Equations in One Variable - Quadratic solving (factoring, quadratic formula, completing square)
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the square root of x plus 4, end root, equals 11

What value of x satisfies the equation above?

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What value of x satisfies the equation above?

Medium-difficulty · SAT Math · Nonlinear Equations in One Variable — Quadratic solving (factoring, quadratic formula, completing square). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 117. Squaring both sides of the given equation gives x plus 4, equals 11 squared, or x plus 4, equals 121. Subtracting 4 from both sides of this equation gives x equals 117.