Question

Find the roots of the following equations, if they exist, by applying the quadratic formula:

a²b²x² - (4b⁴ - 3a⁴)x - 12a²b² = 0,a ≠ 0 and b ≠ 0

Answer 1

The given equations is a²b²x² - (4b⁴ - 3a⁴)x - 12a²b² = 0,a ≠ 0 and b ≠ 0

Comparing it with Ax² + Bx + C = 0.we get

So, the given equation has real roots

Hence, 4b²/a² and - 3a²/b² are the roots of the given equation.