if $a +\frac{1}{a} + 2 = 0$, then the va

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Home Questions 26UR75X9VE

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

if $a +\frac{1}{a} + 2 = 0$, then the value of $a^{15}-\frac{1}{a^{100}}$ is :

Options:

-2

Correct Answer:

-2

Explanation:

if $a +\frac{1}{a} + 2 = 0$,

then the value of $a^{15}-\frac{1}{a^{100}}$

if $a +\frac{1}{a} + 2 = 0$,

Then, $a -\frac{1}{a} = -2$,

Put the value of a = -1

$a^{15}-\frac{1}{a^{100}}$ = $-1^{15}-\frac{1}{-1^{100}}$ = -2