3x^2-700x+20000=0

Solution for 3x^2-700x+20000=0 equation:

3x^2-700x+20000=0

a = 3; b = -700; c = +20000;
Δ = b2-4ac
Δ = -7002-4·3·20000
Δ = 250000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{250000}=500$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-700)-500}{2*3}=\frac{200}{6}
=33+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-700)+500}{2*3}=\frac{1200}{6}
=200
$