If $p+\frac{1}{p}= 112,$ find $(p - 112)

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $p+\frac{1}{p}= 112,$ find $(p - 112)^{15}+\frac{1}{p^{15}}$.

Options:

Correct Answer:

Explanation:

If $p+\frac{1}{p}= 112,$

find $(p - 112)^{15}+\frac{1}{p^{15}}$

If $p+\frac{1}{p}= 112,$

= p - 112 = -$\frac{1}{p}$

Put this value in required equation,

$(p - 112)^{15}+\frac{1}{p^{15}}$ = ( -$\frac{1}{p}$)¹⁵ + $\frac{1}{p^{15}}$ = 0