If x^2 - 11x + 1 = 0 then value of x+1 x is. - Vidyadip

MCQ

If $x^2 - 11x + 1 = 0$ then value of $\text{x}+\frac{1}{\text{x}}$ is.

A
$10$
✓
$11$
C
$12$
D
$13$

✓

Answer

Correct option: B.

$11$

$\therefore\text{x}^2+1=3\text{x}\frac{\text{x}^2+1}{\text{x}}=\frac{11\text{x}}{\text{x}}$
$\Rightarrow\text{x}^2+1=3$

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