Question

find root x-1/x=3,xis not equal to 0

Answer 1

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Answer 2

Given:

x - 1/x = 3 , x is not equal to 0.

To find out:

Find the root of given equation?

Solution:

We have,

x - 1/x = 3

Multiplying throughout by x the given equation can be written as

x² - 1 = 3x => x² - 3x - 1 = 0

Which is a quadratic equation.

( a = 1 , b = -3 , c = -1 )

So,

D = b² - 4ac

= ( -3 )² - 4 × 1 × (-1)

= 9 + 4

= 13 [ 13 > 0 ]

We know that,

x = -b ± √D/2a

= -3 ± √13/2 × 1

= 3 ± √13/2

So, the roots are 3 + √13 / 2 and 3 - √13 / 2.