39375+150x-5x^2=0

Solution for 39375+150x-5x^2=0 equation:

39375+150x-5x^2=0

a = -5; b = 150; c = +39375;
Δ = b2-4ac
Δ = 1502-4·(-5)·39375
Δ = 810000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{810000}=900$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(150)-900}{2*-5}=\frac{-1050}{-10}
=+105
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(150)+900}{2*-5}=\frac{750}{-10}
=-75
$