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

Q: 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

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

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Accepted Answer

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

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

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