Question

Solve and simplify: x(x - 1) = 121 – x​

Answer 1

Answer:

$\boxed{\bold{x \ = \ 11 \ or \ x \ = \ -11}}$

Explanation:

$\bold{x(x \ - \ 1) \ = \ 121 \ - \ x}$

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

Answer 2

Answer:

$x=11$

Step-by-step explanation:

$x(x-1)=121-x\\\\x^2-x=121-x\\\\x^2=121\\\\x=\sqrt{121}\\\\x=11$