Question

x-1/x= 3
please solve it​

Answer 1

Answer:

As we see that the x has a power of 3 so we begin by cubbing the whole equation.

So we start solving like:

x+1x=3x+1x=3

(x+1x)3=33(x+1x)3=33

x3+3.x2.1x+3.x.1x2+1x3=27x3+3.x2.1x+3.x.1x2+1x3=27

(x3+1x3)+3.x2.1x+3.x.1x2=27(x3+1x3)+3.x2.1x+3.x.1x2=27

x3+1x3+(3x+3x)=27x3+1x3+(3x+3x)=27

x3+1x3+3(x+1x)=27x3+1x3+3(x+1x)=27

x3+1x3+3×3=27

Answer 2

value of x is equal to -

$\frac{3 + \sqrt{13} }{2} \: or \: \frac{3 - \sqrt{13} }{2}$

see figure in attachment