Question

If(a+1/a)^2=3 and a>0,then prove that a^3+1/a^3=0,

Answer 1

Step-by-step explanation:

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Answer 2

Hey mate here is your answer.

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Step-by-step explanation:

If(a+1/a)^2=3 and a>0,then prove that a^3+1/a^3=0.

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(a+1/a)^2=3,

⇒(a+1/a)=√3,

⇒(a+1/a)^3=(√3)^3,

⇒a^3+1/a^3+3(a+1/a)=3√3,

⇒a^3+1/a^3+3√3=3√3,

⇒a^3+1/a^3=3√3-3√3,

a^3+1/a^3=0,proved.✔✔✔✔✔

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Hope it helps you.