Question

Find the roots of the quadratic equation :a2b2 x2 +b2 x −a2 x −1 =0

Answer 1

Given,

A quadratic equation a²b²x²+b²x-a²x-1 = 0

To Find,

The roots of this equation.

Solution,

The given equation is

a²b²x²+b²x-a²x-1 = 0

Since the middle term of this equation is already spliited

Taking out the terms which are common

b²x(a²x+1)-1(a²x+1)

Now,

(b²x-1)(a²x+1) = 0

x = 1/b² or x = -1/a²

Hence, the roots of the equation are x = 1/b² and x = -1/a².