690x-6210x^2=0

Solution for 690x-6210x^2=0 equation:

690x-6210x^2=0

a = -6210; b = 690; c = 0;
Δ = b2-4ac
Δ = 6902-4·(-6210)·0
Δ = 476100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{476100}=690$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(690)-690}{2*-6210}=\frac{-1380}{-12420}
=1/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(690)+690}{2*-6210}=\frac{0}{-12420}
=0
$