x+1/x=✓29 then the value of x^3-1/x^3
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Answered by
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Step-by-step explanation:
x+1/x = 3
Cubing both sides
(x+1/x)^3 = 3^3
Now, using the formula ( a+b)^3
x^3 + 1/x^3 + 3× x × 1/x ( x+ 1/x) = 27
x^3 + 1/x^3 + 3 (x+1/x) = 27
A/q: x+ 1/x = 3
x^3 + 1/x^3 + 3 (3) = 27
x^3 + 1/x^3 = 27-9
x^3 + 1/x^3 = 18
Answered by
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Answer:
x+1/x=√29
x^3+1/x^3
=(x+1/x)^3-3.x.1/x(x+1/x)
=(√29)^3-3√29
=√29.√29.√29-3√29
=29√29-3√29
=26√29
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