Question x-2-22

2.2 Nonlinear Equations in One Variable - Quadratic solving (factoring, quadratic formula, completing square)
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x2=2222

What is the positive solution to the given equation?

Enter your answer:

x 2 = 22 22 What is the positive solution to the given equation?

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 22 . The given equation, x2=2222, is equivalent to x2=222. Taking the square root of each side of this equation yields x=±22. Thus, the positive solution to the given equation is 22 .