x2+37x+36=0

Solution for x2+37x+36=0 equation:

x2+37x+36=0

We add all the numbers together, and all the variables

x^2+37x+36=0

a = 1; b = 37; c = +36;
Δ = b2-4ac
Δ = 372-4·1·36
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(37)-35}{2*1}=\frac{-72}{2}
=-36
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37)+35}{2*1}=\frac{-2}{2}
=-1
$