If (x + 1/x )² =3 , then the value of x³+ 1/x³ = ?
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Answered by
32
(x+1/x)² = 3
x + 1/x = √3
(x+1/x)³ = x³ + (1/x)³ + 3(x)(1/x) (x + 1/x)
√3³ = x³ + 1/x³ + 3(√3)
x³ + 1/x³ = 3√3 - 3√3
x³ + 1/x³ = 0
hope it helps
x + 1/x = √3
(x+1/x)³ = x³ + (1/x)³ + 3(x)(1/x) (x + 1/x)
√3³ = x³ + 1/x³ + 3(√3)
x³ + 1/x³ = 3√3 - 3√3
x³ + 1/x³ = 0
hope it helps
khushboomehta1owpwmj:
Thankyou so much :)
Answered by
7
Answer:
the answer is 0
Step-by-step explanation:
(x+1/x)²=3
x+1/x=root3
(x+1/x)³=x³+1/x³+3×x×1/x(x+1/x)
(root3)³=x³+1/x³+3rootx
3root3-3root3=x³+1/x³
0=x³+1/x³
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