Y=0.94x2+0.06x

Solution for Y=0.94x2+0.06x equation:

=0.94Y^2+0.06Y

We move all terms to the left:

-(0.94Y^2+0.06Y)=0

We get rid of parentheses

-0.94Y^2-0.06Y=0

a = -0.94; b = -0.06; c = 0;
Δ = b2-4ac
Δ = -0.062-4·(-0.94)·0
Δ = 0.0036
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-0.06)-\sqrt{0.0036}}{2*-0.94}=\frac{0.06-\sqrt{0.0036}}{-1.88}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.06)+\sqrt{0.0036}}{2*-0.94}=\frac{0.06+\sqrt{0.0036}}{-1.88}
$