ExamVeda
Login
Home

If x + frac 1 x = 2 &nbsp x 0...

This question belongs to Arithmetic Ability Algebra
Algebra
?

If $$x + \frac{1}{x} = 2,$$   x ≠ 0, then the value of $${x^2}{\text{ + }}\frac{1}{{{x^3}}}$$   is equal to?

Answer & Solution
Correct Answer: Option B
$$\eqalign{ & {\text{ }}x + \frac{1}{x} = 2{\text{, }}\,\,\,x \ne 0 \cr & {\text{Put }}x = 1 \cr & 1 + 1 = 2 \cr & \therefore {x^2}{\text{ + }}\frac{1}{{{x^2}}} \cr & = 1 + 1 \cr & = 2 \cr} $$
Examveda
Question posted by Examveda
Community

Join the Discussion

No comments yet Be the first to discuss this question.
Keep Learning

Related Questions on Algebra

If a * b = 2a - 3b + ab, then 3 * 5 + 5 * 3 is equal to?
A. 22 B. 24 C. 26 D. 28
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
The value of $$\left( {{\text{1 + }}\frac{1}{x}} \right)$$ $$\left( {{\text{1 + }}\frac{1}{{x + 1}}} \right)$$  $$\left( {{\text{1 + }}\frac{1}{{x + 2}}} \right)$$  $$\left( {{\text{1 + }}\frac{1}{{x + 3}}} \right)$$   is?
A. $$1 + \frac{1}{{x + 4}}$$ B. x + 4 C. $$\frac{1}{x}$$ D. $$\frac{{x + 4}}{x}$$
If $$\frac{a}{b}{\text{ = }}\frac{2}{3}$$   and $$\frac{b}{c}{\text{ = }}\frac{4}{5}{\text{,}}$$   then the ration $$\frac{{a + b}}{{b + c}}$$   equal to?
A. $$\frac{{20}}{{27}}$$ B. $$\frac{{27}}{{20}}$$ C. $$\frac{6}{8}$$ D. $$\frac{8}{6}$$
More Related Questions on Algebra