Question

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

x² - (2b - 1)x + (b² - b - 20) = 0.

Answer 1

The given equations is x² - (2b - 1)x + (b² - b - 20) = 0

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

So, the given equation has real roots

Hence, (b + 4) and (b - 5) are the roots of the given equation.