roots of 16x^2+7x+4=0 are alpha^2 & beta ^2 find the quadratic eqn whose roots are 1/alpha^2 and beta^2

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03-04-2018
Mathematics

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roots of 16x^2+7x+4=0 are alpha^2 & beta ^2 find the quadratic eqn whose roots are 1/alpha^2 and beta^2

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popalabdulqayou popalabdulqayou · Answer 1 · 2018-04-03T16:15:06+02:00

popalabdulqayou popalabdulqayou

03-04-2018

x=1/a^2 and 1/b^2
so the equations are 16(1/a^2)^2+7(1/a)^2+4=0 and 16(1/b^2)^2+7(1/b^2)+4=0
then 16/a^4+7/a^2+4=0 and 16/b^4+7/b^2+4=0
Hope this loves.

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