23x-0.051x^2=200

Solution for 23x-0.051x^2=200 equation:

23x-0.051x^2=200

We move all terms to the left:

23x-0.051x^2-(200)=0

a = -0.051; b = 23; c = -200;
Δ = b2-4ac
Δ = 232-4·(-0.051)·(-200)
Δ = 488.2
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{-(23)-\sqrt{488.2}}{2*-0.051}=\frac{-23-\sqrt{488.2}}{-0.102}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+\sqrt{488.2}}{2*-0.051}=\frac{-23+\sqrt{488.2}}{-0.102}
$