756x^2-897x=0

Solution for 756x^2-897x=0 equation:

756x^2-897x=0

a = 756; b = -897; c = 0;
Δ = b2-4ac
Δ = -8972-4·756·0
Δ = 804609
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{804609}=897$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-897)-897}{2*756}=\frac{0}{1512}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-897)+897}{2*756}=\frac{1794}{1512}
=1+47/252
$