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If \( \Large x^{2}-3x+1=0 \) find the value of \( \Large x+\frac{1}{x} \)

A) 0
B) 3
C) 2
D) 1

Correct Answer:


B) 3

Description for Correct answer:

Given equation is

\( \Large x^{2}-3x+1=0 => x^{2}+1=3x \)

= \( \Large \frac{x^{2}+1}{x}=3 \)

= \( \Large \frac{x^{2}}{x}+\frac{1}{x}=3 \)

Therefore, \( \Large x+\frac{1}{x}=3 \)

Part of solved Quadratic Equations questions and answers : >> Elementary Mathematics >> Quadratic Equations

Comments

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