x+y=8,xy=12 then x^2+y^4=
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x+y=8
S.O.B.S
(x+y)2=64
x2+y2+2xy=64
Given xy=12
x2+y2+2(12)=64
x2+y2=64−24
x2+y2=40
S.O.B.S
(x2+y2)2=402
x4+y4+2x2y2=1600
x4+y4+2(12)2=1600
x4+y4=1600−288
x4+y4=1312
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