If $$2x + \frac{1}{{2x}} = 2,$$ then what is the value of $$\sqrt {2{{\left( {\frac{1}{x}} \right)}^4} + {{\left( {\frac{1}{x}} \right)}^5}} ?$$
A. 1
B. 2
C. 4
D. 8
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & 2x + \frac{1}{{2x}} = 2 \cr & {\text{Now, }}2x = 1 \cr & \Rightarrow x = \frac{1}{2} \cr & \Rightarrow \frac{1}{x} = 2 \cr & \sqrt {2{{\left( {\frac{1}{x}} \right)}^4} + {{\left( {\frac{1}{x}} \right)}^5}} \cr & = \sqrt {2 \times {2^4} + {2^5}} \cr & = \sqrt {32 + 32} \cr & = \sqrt {64} \cr & = 8 \cr} $$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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