-0.234+0.0283x+-1.61E-04x^2=50

Solution for -0.234+0.0283x+-1.61E-04x^2=50 equation:

-0.234+0.0283x+-1.61-04x^2=50

We move all terms to the left:

-0.234+0.0283x+-1.61-04x^2-(50)=0

determiningTheFunctionDomain
-04x^2+0.0283x-0.234-1.61-50+=0

We add all the numbers together, and all the variables

-4x^2+0.0283x=0

a = -4; b = 0.0283; c = 0;
Δ = b2-4ac
Δ = 0.02832-4·(-4)·0
Δ = 0.00080089
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{-(0.0283)-\sqrt{0.00080089}}{2*-4}=\frac{-0.0283-\sqrt{0.00080089}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.0283)+\sqrt{0.00080089}}{2*-4}=\frac{-0.0283+\sqrt{0.00080089}}{-8}
$