x^2-1600x=0

Solution for x^2-1600x=0 equation:

x^2-1600x=0

a = 1; b = -1600; c = 0;
Δ = b2-4ac
Δ = -16002-4·1·0
Δ = 2560000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2560000}=1600$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1600)-1600}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1600)+1600}{2*1}=\frac{3200}{2}
=1600
$