Question

Solve using quadratic formula: abx^2+ 4bx - (a^2−b^2)=0​

Answer 1

Step-by-step explanation:

Given: abx2+(b2−ac)x−bc=0

Factorizing the given equation,

⟹abx2+b2x−acx−bc=0

⟹bx(ax+b)−c(ax+b)=0

⟹(bx−c)(ax+b)=0

Solving the above equation for x, we get

⟹(bx−c)=0 or (ax+b)=0

⟹x=bc or x=a−b