Question

X+ 1/x=5,
$x {}^{3}$
+1/x
3​

Answer 1

Answer:

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Answer 2

X+ 1/x=5,$x {}^{3}$+1/x 3

We know that,

a{}^{3} + b{}^{3} = ( a+b ){}^{3} - 3ab (a+b)

x{}^{3} + 1/x{}^{3} = 125+ 3×x×1/x (5)

= 125+3×5

= 125

(x+1/x){}^{3} = 125

we know that,

a{}^{3} + b{}^{3} = ( a+b ){}^{3} - 3ab (a+b)

x{}^{3} + 1/x{}^{3} = 125 - 3(5)

= 125 - 15

= 110

Your answer is,

110