30x2+450x-97500=0

Solution for 30x2+450x-97500=0 equation:

30x^2+450x-97500=0

a = 30; b = 450; c = -97500;
Δ = b2-4ac
Δ = 4502-4·30·(-97500)
Δ = 11902500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11902500}=3450$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(450)-3450}{2*30}=\frac{-3900}{60}
=-65
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(450)+3450}{2*30}=\frac{3000}{60}
=50
$