if alpha and bita are roots of 3x^2-6x+4=0 then find: alpha/bita^2 + bita/alpha^2

alpha/bita^2 + bita/alpha^2 = alpha^3+bita3/(alpha.bita)^2

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if alpha and bita are roots of 3x^2-6x+4=0 then find: alpha/bita^2
+ bita/alpha^2

alpha/bita^2 + bita/alpha^2 = alpha^3+bita3/(alpha bita)^2

Ishwarmani · Accepted Answer

Dear student,

As, α and β are the roots of 3x2-6x+4=0So, α+β=63=2 and αβ=43Now,αβ2+βα2=α3+β3αβ2=α+β3-3αβα+βαβ2=23-3×43×2432=8-8432=0

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if alpha and bita are roots of 3x^2-6x+4=0 then find: alpha/bita^2 + bita/alpha^2 alpha/bita^2 + bita/alpha^2 = alpha^3+bita3/(alpha.bita)^2