Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x4 + \(\frac{1}{x^4}\) = 27887, the positive value of x2 + \(\frac{1}{x^2}\) is?

Options:

178

165

170

167

Correct Answer:

167

Explanation:

If x4 + \(\frac{1}{x^4}\) = a

then x2 + \(\frac{1}{x^2}\) = \(\sqrt {a + 2}\)

ATQ,

x4 + \(\frac{1}{x^4}\) = 27887

x2 + \(\frac{1}{x^2}\) = \(\sqrt {27887 + 2}\) = 167