x2=-9x-1

Solution for x2=-9x-1 equation:

x2=-9x-1

We move all terms to the left:

x2-(-9x-1)=0

We add all the numbers together, and all the variables

x^2-(-9x-1)=0

We get rid of parentheses

x^2+9x+1=0

a = 1; b = 9; c = +1;
Δ = b2-4ac
Δ = 92-4·1·1
Δ = 77
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{-(9)-\sqrt{77}}{2*1}=\frac{-9-\sqrt{77}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{77}}{2*1}=\frac{-9+\sqrt{77}}{2}
$