Question

If x^2+1/x^2=7, find the value of x^3+1/x^3 taking only the positive value of x+1/x.​

Answer 1

Answer:

$(x + \frac{1}{x} ) {}^{2} = {x}^{2} + \frac{1}{ {x}^{2} } + 2$

$(x + \frac{1}{x} ) = 3$

$(x + \frac{1}{x {}^{} } ) {}^{3} = {x}^{3} + \frac{1}{ {x}^{3} } + 3(x + \frac{1}{x})$

${x}^{3} + \frac{1}{ {x}^{3} } = 18$

hope this helps you

Answer 2

Answer:

18

Step-by-step explanation:

See in the attachment