x+11=10x2

Solution for x+11=10x2 equation:

x+11=10x^2

We move all terms to the left:

x+11-(10x^2)=0

determiningTheFunctionDomain
-10x^2+x+11=0

a = -10; b = 1; c = +11;
Δ = b2-4ac
Δ = 12-4·(-10)·11
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-21}{2*-10}=\frac{-22}{-20}
=1+1/10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+21}{2*-10}=\frac{20}{-20}
=-1
$