0=1x^2-190x+8625

Solution for 0=1x^2-190x+8625 equation:

0=1x^2-190x+8625

We move all terms to the left:

0-(1x^2-190x+8625)=0

We add all the numbers together, and all the variables

-(1x^2-190x+8625)=0

We get rid of parentheses

-1x^2+190x-8625=0

a = -1; b = 190; c = -8625;
Δ = b2-4ac
Δ = 1902-4·(-1)·(-8625)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(190)-40}{2*-1}=\frac{-230}{-2}
=+115
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(190)+40}{2*-1}=\frac{-150}{-2}
=+75
$