2. Using factorization, find the roots of the quadratic equation: abx^2 + (b²-ac)x-bc=o.​

1 thought on “<br /><br />2. Using factorization, find the roots of the quadratic equation: abx^2 + (b²-ac)x-bc=o.​”

1. Answer:

   Given: abx

   2

   +(b

   2

   −ac)x−bc=0

   Factorizing the given equation,

   ⟹abx

   2

   +b

   2

   x−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=

   b

   c

   or x=

   a

   −b

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