X2/y2 + y2/x2 =14 then x3/y3+y3/x3 is
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Answer:
52
Step-by-step explanation:
Given - x²/y²+y²/x²=14
so,
( x/y+y/x)²= x²/y²+ y²/x² +2 x/y×y/x
= 14+2
= 16
(x/y+y/x) = 4
(x/y+y/x)³ = x³/y³+ y³/x³ + 3x/y × y/x( x/y+y/x)
4³ = x³/y³+y³/x³+3×4
x³/y³+y³/x³ = 64-12
= 52
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