If $$x + \frac{1}{{x + 1}} = 1,$$ then $${\left( {x + 1} \right)^5}$$ + $$\frac{1}{{{{\left( {x + 1} \right)}^5}}}$$ equals?
A. 1
B. 2
C. 4
D. 8
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & x + \frac{1}{{x + 1}} = 1 \cr & {\text{Adding both 1 sides}} \cr & \Rightarrow x + 1 + \frac{1}{{x + 1}} = 1 + 1 \cr & \Rightarrow \left( {x + 1} \right) + \frac{1}{{\left( {x + 1} \right)}} = 2 \cr & {\text{Put }}x + 1 = 1 \cr & {\text{And }}\frac{1}{{x + 1}} = 1 \cr & \therefore {\left( {x + 1} \right)^5}{\text{ + }}\frac{1}{{{{\left( {x + 1} \right)}^5}}} \cr & = 1 + 1 \cr & = 2 \cr} $$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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