If y-5/y=4, then find
I) y²+25/y²
II) y³-125/y³
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Step-by-step explanation:
Given y-5/y=4
(y-5/y)^2=4^2
y²+25/y² -2.y.5/y = 16
y²+25/y² -10 = 16
y²+25/y² = 16+10
y²+25/y² = 26
y³-125/y³ = (y-5/y)(y²+25/y² +y.5/y)
= (4)((26+5)
= (4)(31)
= 124
y³-125/y³ = 124
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