X2+9x+6=19

Solution for X2+9x+6=19 equation:

X2+9X+6=19

We move all terms to the left:

X2+9X+6-(19)=0

We add all the numbers together, and all the variables

X^2+9X-13=0

a = 1; b = 9; c = -13;
Δ = b2-4ac
Δ = 92-4·1·(-13)
Δ = 133
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{133}}{2*1}=\frac{-9-\sqrt{133}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{133}}{2*1}=\frac{-9+\sqrt{133}}{2}
$