0,5x^2-5x-1500=0

Solution for 0,5x^2-5x-1500=0 equation:

0.5x^2-5x-1500=0

a = 0.5; b = -5; c = -1500;
Δ = b2-4ac
Δ = -52-4·0.5·(-1500)
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-55}{2*0.5}=\frac{-50}{1}
=-50
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+55}{2*0.5}=\frac{60}{1}
=60
$