8.58+5.9x+x^2=24.85

Solution for 8.58+5.9x+x^2=24.85 equation:

8.58+5.9x+x^2=24.85

We move all terms to the left:

8.58+5.9x+x^2-(24.85)=0

We add all the numbers together, and all the variables

x^2+5.9x-16.27=0

a = 1; b = 5.9; c = -16.27;
Δ = b2-4ac
Δ = 5.92-4·1·(-16.27)
Δ = 99.89
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{-(5.9)-\sqrt{99.89}}{2*1}=\frac{-5.9-\sqrt{99.89}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5.9)+\sqrt{99.89}}{2*1}=\frac{-5.9+\sqrt{99.89}}{2}
$