Math, asked by parulmandal835, 8 months ago

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Answered by mandauma1978
0

Answer:

x+1/x=6

cubing on both sides

(x+1/x)³=(6)³

x³+2*(x) (1/x)+(1/x)³=216

x³+2+1/x³=216

x³+1/x³=216-2

x³+1/x³=214

Step-by-step explanation:

I hope this helps you

Answered by dysm30530
1

givenx+x1=6

cubing on both sides

\sf \: {(x + \frac{1}{x} )}^{3} = {6}^{3}(x+x1)3=63

\sf \: { {x}^{3} + \frac{1}{{x}^{3}}} + 3(x + \frac{1}{x}) = 216x3+x31+3(x+x1)=216

\sf \: { {x}^{3} + \frac{1}{{x}^{3}}} + 3(6) = 216x3+x31+3(6)=216

\sf \: { {x}^{3} + \frac{1}{{x}^{3}}} + 18 = 216x3+x31+18=216

\sf \: { {x}^{3} + \frac{1}{{x}^{3}}} = 216 - 18x3+x31=216−18

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