1650=95x-100-x^2

Solution for 1650=95x-100-x^2 equation:

1650=95x-100-x^2

We move all terms to the left:

1650-(95x-100-x^2)=0

We get rid of parentheses

x^2-95x+100+1650=0

We add all the numbers together, and all the variables

x^2-95x+1750=0

a = 1; b = -95; c = +1750;
Δ = b2-4ac
Δ = -952-4·1·1750
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-95)-45}{2*1}=\frac{50}{2}
=25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-95)+45}{2*1}=\frac{140}{2}
=70
$