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 ???
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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.
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.
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