X^2-35x+45=10245

Solution for X^2-35x+45=10245 equation:

X^2-35X+45=10245

We move all terms to the left:

X^2-35X+45-(10245)=0

We add all the numbers together, and all the variables

X^2-35X-10200=0

a = 1; b = -35; c = -10200;
Δ = b2-4ac
Δ = -352-4·1·(-10200)
Δ = 42025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{42025}=205$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-35)-205}{2*1}=\frac{-170}{2}
=-85
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+205}{2*1}=\frac{240}{2}
=120
$