X^2-35x=-36

Solution for X^2-35x=-36 equation:

X^2-35X=-36

We move all terms to the left:

X^2-35X-(-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 = 1081
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{-(-35)-\sqrt{1081}}{2*1}=\frac{35-\sqrt{1081}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+\sqrt{1081}}{2*1}=\frac{35+\sqrt{1081}}{2}
$