37+0.8x-0.001x^2=0

Solution for 37+0.8x-0.001x^2=0 equation:

37+0.8x-0.001x^2=0

a = -0.001; b = 0.8; c = +37;
Δ = b2-4ac
Δ = 0.82-4·(-0.001)·37
Δ = 0.788
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0.8)-\sqrt{0.788}}{2*-0.001}=\frac{-0.8-\sqrt{0.788}}{-0.002}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.8)+\sqrt{0.788}}{2*-0.001}=\frac{-0.8+\sqrt{0.788}}{-0.002}
$