x^2-25x+60=9410

Solution for x^2-25x+60=9410 equation:

x^2-25x+60=9410

We move all terms to the left:

x^2-25x+60-(9410)=0

We add all the numbers together, and all the variables

x^2-25x-9350=0

a = 1; b = -25; c = -9350;
Δ = b2-4ac
Δ = -252-4·1·(-9350)
Δ = 38025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{38025}=195$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-195}{2*1}=\frac{-170}{2}
=-85
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+195}{2*1}=\frac{220}{2}
=110
$