Question

Solve this Numerical

If let the α,β be the roots of equation
(x - α)(x-β) = c , cnot equal to zero ,
then the roots of equation (x - α)(x-β) + c = 0 are ???​

Answer 1

Solutions :---

Given,

α, β are the roots of

equation (x - α)(x-β) = c.

➡ (x - α)(x-β) - c = (x - α)(x-β)

➡(x - α)(x-β) = (x - α)(x-β) + c

•°• As we know that ,

➡a, b are the roots of equation (x - α)(x-β) + c = 0.

➡So, A and B are the roots of the equation.

Answer 2

Solutions :---

Given,

α, β are the roots of

equation (x - α)(x-β) = c.

➡ (x - α)(x-β) - c = (x - α)(x-β)

➡(x - α)(x-β) = (x - α)(x-β) + c

•°• As we know that ,

➡a, b are the roots of equation (x - α)(x-β) + c = 0.

➡So, A and B are the roots of the equation.