X²+Y²=9 & X+Y=3 THAN THE VALUE OF X⁴+Y⁴=?
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Answered by
0
Xx + yy = 9
X = 0
Y = 3
0×0 + 3×3 = 9
0 + 3 = 3
0×0×0×0 + 3×3×3×3 = 81
Answered by
4
x²+y²=9
x+y=3
(x+y)²=3²
x²+y²+2xy=9
9+2xy=9
Subtracting 9 from both sides
2xy=0
(x²+y²)²=9²
x⁴+y⁴+2x²y²=81
x⁴+y⁴+2xy(xy)=81
x⁴+y⁴+(0)(xy)=81
Thus, x⁴+y⁴=81
Hope it helps!!
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