If $$p + \frac{1}{p} = 112,$$ find the value of $${\left( {p - 112} \right)^{15}} + \frac{1}{{{p^{15}}}} = ?$$
A. 10
B. 0
C. 15
D. 1
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & p + \frac{1}{p} = 112,\,\,{\left( {p - 112} \right)^{15}} + \frac{1}{{{p^{15}}}} = ? \cr & p - 112 = - \frac{1}{p} \cr & {\left( {p - 112} \right)^{15}} + \frac{1}{{{p^{15}}}} \cr & = {\left( { - \frac{1}{p}} \right)^{15}} + \frac{1}{{{p^{15}}}} \cr & = - \frac{1}{{{p^{15}}}} + \frac{1}{{{p^{15}}}} \cr & = 0 \cr} $$Related Questions on Algebra
If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$ then the value of 8 × 2 is?
A. 6
B. 10
C. 14
D. 16
A. $$1 + \frac{1}{{x + 4}}$$
B. x + 4
C. $$\frac{1}{x}$$
D. $$\frac{{x + 4}}{x}$$
A. $$\frac{{20}}{{27}}$$
B. $$\frac{{27}}{{20}}$$
C. $$\frac{6}{8}$$
D. $$\frac{8}{6}$$
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