if x+y=4,xy=3,find 1/y^2+1/x^2
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Answer=22
Step-by-step explanation:
Answered by
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Answer:
(x + y) = 4(x+y)=4
xy = 3xy=3
So ,
(x + y)² = 4²(x+y)²=4²
(x² + y²) + 2xy = 16(x²+y²)+2xy=16
(x² + y²) + 6 = 16(x²+y²)+6=16
(x² + y²) = 10(x²+y²)=10
Now ,
1/y^2 + 1/x^2
=x^2+y^2
x^2y^2
=10
9
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