81x^2-100x=0

Solution for 81x^2-100x=0 equation:

81x^2-100x=0

a = 81; b = -100; c = 0;
Δ = b2-4ac
Δ = -1002-4·81·0
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{-(-100)-100}{2*81}=\frac{0}{162}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+100}{2*81}=\frac{200}{162}
=1+19/81
$