Solve each of the following quadratic equations:
a²b²x² + b²x - a²x - 1 = 0

Question

Solve each of the following quadratic equations: a 2 b 2 x 2 + b 2 x - a 2 x - 1 = 0

Philoid · Accepted Answer

a²b²x² + b²x - a²x - 1 = 0

b²x(a²x + 1) - 1(a²x + 1) = 0 taking b²x common from first two terms and - 1 from last two

(a²x + 1) (b²x - 1) = 0

(a²x + 1) = 0 or (b²x - 1) = 0

Hence the roots of equation are

Solve each of the following quadratic equations:a2b2x2 + b2x - a2x - 1 = 0