984x^2-30x-1030=0

Solution for 984x^2-30x-1030=0 equation:

984x^2-30x-1030=0

a = 984; b = -30; c = -1030;
Δ = b2-4ac
Δ = -302-4·984·(-1030)
Δ = 4054980
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4054980}=\sqrt{4*1013745}=\sqrt{4}*\sqrt{1013745}=2\sqrt{1013745}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-2\sqrt{1013745}}{2*984}=\frac{30-2\sqrt{1013745}}{1968}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+2\sqrt{1013745}}{2*984}=\frac{30+2\sqrt{1013745}}{1968}
$