Question

Solve each of the following quadratic equations:
$ab{x}^2+(b^2-ac)x-bc=0$

Answer 1

Consider,$ab{x}^2+(b^2-ac)x-bc=0$
⇒ abx² + b²x – acx – bc = 0
⇒ bx (ax + b) – c(ax + b) = 0
⇒ (ax + b)(bx – c) = 0

⇒ (ax + b) = 0 or (bx – c) = 0
⇒ ax = – b or bx = c ​​​​​​​