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

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Find the roots of the following equations:

`x-1/x = 3, x ≠ 0`

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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
Chapter 4 Quadratic Equations
Exercise 4.3 | Q 3.1 | Page 88
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