Answer:
[tex]\boxed{\bold{x \ = \ 11 \ or \ x \ = \ -11}}[/tex]
Explanation:
[tex]\bold{x(x \ - \ 1) \ = \ 121 \ - \ x}[/tex]
Simplify both sides of the equation
x² − x = −x + 121
Add x to both sides
x² − x + x = −x + 121 + x
x² = 121
Take square root
x = ± √121
x = 11 or x = −11
