if x+1/x=5 find the value of x3+1/x3
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Answer:
Step-by-step explanation:
x+1/x=5
cubing both sides
(x+1/x)^3=(5)^3
x^3+1/x^3+3(x*1/x)(x+1/x)=125
x^3+1/x^3+3(5)=125
x^3+1/x^3=125-15
x^3+1/x^3=110
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x+1/x=5
cubing both sides
(x+1/x)³=125
x³+1/x³+3(x+1/x)=125
x³+1/x³+15=125
x³+1/x³=110
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