Question

Find the roots of quadratic equations abx² + (b² - ac)x - bc = 0

Answer 1

abx² + (b² - ac)x - bc = 0

⇒ abx² + b²x - acx - bc = 0

⇒ bx (ax + b) - c (ax + b) = 0

⇒ bx - c = 0 or ax + b = 0

⇒ x = c/b or x = -b/a

Hence, the roots of the equation are c/b and - b/a