If x4 + x-4 = 194, x > 0, then the value of (x - 2)2 is:
A. 1
B. 6
C. 2
D. 3
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {x^4} + \frac{1}{{{x^4}}} = 194, \cr & {x^4} + \frac{1}{{{x^4}}} + 2 = 194 + 2 \cr & {x^2} + \frac{1}{{{x^2}}} + 2 = 16 \cr & x + \frac{1}{x} = 4 \cr & {x^2} + 1 = 4x \cr & {x^2} - 4x = - 1 \cr & {x^2} - 4x + 1 = 0 \cr & {x^2} - 4x + 4 - 3 = 0 \cr & {x^2} - 4x + 4 = 3 \cr & {\left( {x - 2} \right)^2} = 3 \cr} $$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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