7x^2-204x-1728=0

Solution for 7x^2-204x-1728=0 equation:

7x^2-204x-1728=0

a = 7; b = -204; c = -1728;
Δ = b2-4ac
Δ = -2042-4·7·(-1728)
Δ = 90000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{90000}=300$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-204)-300}{2*7}=\frac{-96}{14}
=-6+6/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-204)+300}{2*7}=\frac{504}{14}
=36
$