Question

if x-1/x = 3 find x^2-1/x^2 and x^4+1/x^4

please ans fast​

Answer 1

Answer:

math]\displaystyle x+\frac{1}{x}=3[/math]

[math]\displaystyle \left(x+\frac{1}{x}\right)^2=3^2[/math]

[math]\displaystyle x^2+\frac{1}{x^2}+2=9[/math]

[math]\displaystyle x^2+\frac{1}{x^2}=7 \tag 1[/math]

[math]\displaystyle\left(x^2+\frac{1}{x^2}\right)\left(x^2+\frac{1}{x^2}\right)=7 ×7[/math]

[math]\displaystyle x^4+\frac{1}{x^4}+2=49[/math]

[math] \displaystyle \mathbf{x^4+\frac{1}{x^4}=47}[/math]

Answer 2

See the picture....
Hope it helps you.....