Question

If x^2+1/x^2=83.find x^3-1/x^3
correct answer will be marked as brainliest.

Answer 1

Answer:

756

Step-by-step explanation:

Given:

• x^2+1/x^2=83

Find:

• x^3-1/x^3

Solution:

• x^3-1/x^3=
• (x-1/x)(x^2+x*1/x+1/x^2)=
• (x-1/x)(83+1)=84(x-1/x)

Now let's find value of (x-1/x)^2

• (x-1/x)^2=
• x^2-2*x*1/x+1/x^2=
• 83-2=81 => x-1/x=9

Now:

• x^3-1/x^3=9*84=756

Solved