If $$x + \frac{1}{x} = 2$$ and x is real, then the value of $${x^{17}}{\text{ + }}\frac{1}{{{x^{19}}}}\,{\text{is?}}$$
A. 1
B. 0
C. 2
D. -2
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & x + \frac{1}{x} = 2 \cr & \left( {{\text{Assume }}x = 1{\text{, so, }}1 + 1 = 2} \right) \cr & {x^{17}}{\text{ + }}\frac{1}{{{x^{19}}}} \cr & = {\left( 1 \right)^{17}} + \frac{1}{{{{\left( 1 \right)}^{19}}}} \cr & = 1 + 1 \cr & = 2 \cr} $$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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