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If α and β are the roots of the equation x 2 - 11x + 24 = 0, find the equation having the roots α + 2 and β + 2

Correct Answer:

Explanation:

Given equation is
x2 - 11x + 24 = 0
Then, required equation is
(x - 2)2 - 11(x - 2) + 24 = 0
⇒ x2 - 4x + 4 - 11x + 22 + 24 = 0
⇒ x2 - 15x + 50 = 0


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