SOLUTION: x^-2-12x^-1+35=0

Algebra ->  Inequalities -> SOLUTION: x^-2-12x^-1+35=0      Log On


   

Question 320158: x^-2-12x^-1+35=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let z=1%2Fx=x%5E%28-1%29, then z%5E2=1%2Fx%5E2=x%5E%28-2%29,
.
.
.
x%5E%28-2%29-12x%5E%28-1%29%2B35=z%5E2-12z%2B35
x%5E%28-2%29-12x%5E%28-1%29%2B35=%28z-7%29%28z-5%29=0
Two solutions:
z-7=0
z=7
1%2Fx=7
highlight%28x=1%2F7%29
.
.
.
z-5=0
z=5
1%2Fx=5
highlight%28x=1%2F5%29