If $x-\frac{2}{x}=4,$ then what will be

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $x-\frac{2}{x}=4,$ then what will be the value of $x^2+\frac{4}{x^2}$ ?

Options:

Correct Answer:

Explanation:

If $x-\frac{2}{x}=4,$

then what will be the value of $x^2+\frac{4}{x^2}$ = ?

we know that,

If, $(x - \frac{1}{x}) = a$

then, (x² + x^-2) = (a)² + 2

So, If $x-\frac{2}{x}=4,$

then, $x^2+\frac{4}{x^2}$ = (4)² + 2 × 2 = 16 + 4 = 20