Answered If x²+y²=29 and xy=2 find the value of x⁴+y^4
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Step-by-step explanation:
x²+y² = 29, xy = 2
evaluate : x⁴+y⁴
(x²+y²)² = 29²
=> x⁴+y⁴+2(xy)² = 841
=> x⁴+y⁴+2(2)² = 841
=> x⁴+y⁴+8 = 841
=> x⁴+y⁴ = 833
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