3.8x-0.001x^2=370

Solution for 3.8x-0.001x^2=370 equation:

3.8x-0.001x^2=370

We move all terms to the left:

3.8x-0.001x^2-(370)=0

a = -0.001; b = 3.8; c = -370;
Δ = b2-4ac
Δ = 3.82-4·(-0.001)·(-370)
Δ = 12.96
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{-(3.8)-\sqrt{12.96}}{2*-0.001}=\frac{-3.8-\sqrt{12.96}}{-0.002}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3.8)+\sqrt{12.96}}{2*-0.001}=\frac{-3.8+\sqrt{12.96}}{-0.002}
$