X^2-60x=1600

Solution for X^2-60x=1600 equation:

X^2-60X=1600

We move all terms to the left:

X^2-60X-(1600)=0

a = 1; b = -60; c = -1600;
Δ = b2-4ac
Δ = -602-4·1·(-1600)
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-100}{2*1}=\frac{-40}{2}
=-20
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+100}{2*1}=\frac{160}{2}
=80
$