Question

What are the possible values of x in -11x2 + 2x = 10?

Answer 1

$-11x^2+2x=10\\ -11x^2+2x-10=0\\ \Delta=2^2-4\cdot(-11)\cdot(-10)=4-440=-436$

$\Delta\ \textless \ 0\Rightarrow$ no real solutions