2r^2-75r-1008=0

Solution for 2r^2-75r-1008=0 equation:

2r^2-75r-1008=0

a = 2; b = -75; c = -1008;
Δ = b2-4ac
Δ = -752-4·2·(-1008)
Δ = 13689
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13689}=117$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-117}{2*2}=\frac{-42}{4}
=-10+1/2
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+117}{2*2}=\frac{192}{4}
=48
$