find y²+1/y² and y⁴+1/y⁴,if y -1/y =9
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Given : y -1/y =9
To Find : y²+1/y² and y⁴+1/y⁴
Solution:
y -1/y =9
Squaring both sides
=> y² + 1/y² - 2y(1/y) = 9²
=> y² + 1/y² - 2 = 81
=> y² + 1/y² = 83
y² + 1/y² = 83
Squaring both sides
y⁴ + 1/y⁴ + 2y²( 1/y²) = 83²
=> y⁴ + 1/y⁴ + 2 = 6889
=> y⁴ + 1/y⁴ = 6887
y² + 1/y² = 83
y⁴ + 1/y⁴ = 6887
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If x²-y²= 12 and x³+y³ = 72, find the value of x and y - Brainly.in
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