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

Question

Mathematics

Autumn Benitez

8 August, 15:42

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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Peppermint · Answer 1

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.