# Find the roots of the following equations: x-1/x = 3, x ≠ 0 - Mathematics

Find the roots of the following equations:

x-1/x = 3, x ≠ 0

#### Solution

x-1/x = 3

⇒ x2 - 3x -1 = 0

On comparing this equation with ax2 + bx + c = 0, we get

a = 1, b = -3 and c = -1

By using quadratic formula, we get

x = (-b±sqrt(b^2 - 4ac))/(2a)

⇒ x = (3±sqrt(9+4))/2

⇒ x = (3±sqrt13)/2

∴ x = (3+sqrt13)/2

Concept: Solutions of Quadratic Equations by Completing the Square
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#### APPEARS IN

NCERT Class 10 Maths