Question

If x=1/5-x and x≠5,find x^3+1/x^3.

Answer 1

Hey mate here is your answer.

✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡

Step-by-step explanation:

If x=1/5-x and x≠5,find x^3+1/x^3.

__________________________________

x=1/x-5,

⇒x(5-x)=1,

⇒5x-x^2=1,

⇒x^2+1=5x,

⇒x+1/x=5,

⇒(x+1/x)^3=5^3,

⇒x^3+3(x+1/x)+1/x^3=125,

Substitute the value:

⇒x^3+3(5)+1/x^3=125,

⇒x^3+1/x^3=125-15,

x^3+1/x^3=110.✔✔✔✔✔

________________________________

Hope it helps you.