X2-100x+2475=0

Solution for X2-100x+2475=0 equation:

X2-100X+2475=0

We add all the numbers together, and all the variables

X^2-100X+2475=0

a = 1; b = -100; c = +2475;
Δ = b2-4ac
Δ = -1002-4·1·2475
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-10}{2*1}=\frac{90}{2}
=45
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+10}{2*1}=\frac{110}{2}
=55
$