x2+11x+26=0

Solution for x2+11x+26=0 equation:

x2+11x+26=0

We add all the numbers together, and all the variables

x^2+11x+26=0

a = 1; b = 11; c = +26;
Δ = b2-4ac
Δ = 112-4·1·26
Δ = 17
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{-(11)-\sqrt{17}}{2*1}=\frac{-11-\sqrt{17}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{17}}{2*1}=\frac{-11+\sqrt{17}}{2}
$