If α , β are the roots of the equation x 2 – 3 x + 4 = 0 , then the equation whose roots are α - 2 α + 2 , β - 2 β + 2 is

Question

If α , β are the roots of the equation x 2 – 3 x + 4 = 0 , then the equation whose roots are α - 2 α + 2 , β - 2 β + 2 is, 7 x 2 – 1 = 0, 7 x 2 + 1 = 0, 7 x 2 + 2 = 0, 7 x 2 – 2 = 0

MARKS App · Accepted Answer

Replace x by 2 1 + x 1 - x 4 1 + x 1 - x 2 - 3 2 1 + x 1 - x + 4 = 0 ⇒ 7 x 2 + 1 = 0

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