X+10x2=22

Solution for X+10x2=22 equation:

X+10X^2=22

We move all terms to the left:

X+10X^2-(22)=0

a = 10; b = 1; c = -22;
Δ = b2-4ac
Δ = 12-4·10·(-22)
Δ = 881
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{881}}{2*10}=\frac{-1-\sqrt{881}}{20}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{881}}{2*10}=\frac{-1+\sqrt{881}}{20}
$