Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $x^4 +\frac{1}{x^4}= 16$, then what is the value of $x^2 +\frac{1}{x^2}$ ?

Options:

$4\sqrt{2}$

$3\sqrt{2}$

$2\sqrt{2}$

$5\sqrt{2}$

Correct Answer:

$3\sqrt{2}$

Explanation:

If $x^4 +\frac{1}{x^4}= 16

Then what is the value of $x^2 +\frac{1}{x^2}$

If x4 + \(\frac{1}{x^4}\) = a

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

x2 + \(\frac{1}{x^2}\) = \(\sqrt {16 + 2}\) = $3\sqrt{2}$