Question

x+1/x=5 find x^³+1/x^³​

Answer 1

Step-by-step explanation:

x+1/x=5

x^3+1/x^3

=(x+1/x)^3-3.x.1/x(x+1/x)

=(5)^3-3×5

=125-15

=110

Answer 2

Answer:

$x^{3} + \frac{1}{x^{3} }= 110$//

Step-by-step explanation:

$x + \frac{1}{x} = 5$

$(x + \frac{1}{x} )$³$= 5$³

$x^{3} + 3x^{2}\frac{1}{x} + 3x\frac{1}{x^{2} } + \frac{1}{x^{3} } = 125$

$(x^{3} + \frac{1}{x^{3} }) + (3x + \frac{3}{x}) = 125$

$(x^{3} + \frac{1}{x^{3} }) + 3 (x + \frac{1}{x}) = 125$

$(x^{3} + \frac{1}{x^{3} }) + 3*5 = 125$

$(x^{3} + \frac{1}{x^{3} }) + 15 = 125$

$(x^{3} + \frac{1}{x^{3} }) = 125-15$

$x^{3} + \frac{1}{x^{3} }= 110$//

HOPE IT HELPS.

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