x2+35x-36=0

Solution for x2+35x-36=0 equation:

x2+35x-36=0

We add all the numbers together, and all the variables

x^2+35x-36=0

a = 1; b = 35; c = -36;
Δ = b2-4ac
Δ = 352-4·1·(-36)
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-37}{2*1}=\frac{-72}{2}
=-36
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+37}{2*1}=\frac{2}{2}
=1
$