X^2-126x+2600=0

Solution for X^2-126x+2600=0 equation:

X^2-126X+2600=0

a = 1; b = -126; c = +2600;
Δ = b2-4ac
Δ = -1262-4·1·2600
Δ = 5476
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5476}=74$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-126)-74}{2*1}=\frac{52}{2}
=26
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-126)+74}{2*1}=\frac{200}{2}
=100
$