x²+x+1=o find value of x³+1/x³
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x²+x+1=0
x+1+1/x=0 (dividing by x on both sides)
x+1/x=-1
⇒(x+1/x)³=-1
x³+1/x³+3(x+1/x)=-1
x³+1/x³-3=-1 (x+1/x = -1)(as mentioned above)
⇒x³+1/x³=2
x+1+1/x=0 (dividing by x on both sides)
x+1/x=-1
⇒(x+1/x)³=-1
x³+1/x³+3(x+1/x)=-1
x³+1/x³-3=-1 (x+1/x = -1)(as mentioned above)
⇒x³+1/x³=2
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