Question

Please solve

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

$\huge{\blue{\underline{\mathfrak{Answer:}}}}$

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Dear Users,

(x -a) (x-b) (x -c) - d = (x-alpha) (x - beta) (x- gamma)

Now,

(x -alpha) (x- beta) (x- gamma) + d = (x-a) (x-b) (x-c)

Hence the given equation has roota roots as a, b, c.

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