57.64x+5.798x^2=105

Solution for 57.64x+5.798x^2=105 equation:

57.64x+5.798x^2=105

We move all terms to the left:

57.64x+5.798x^2-(105)=0

a = 5.798; b = 57.64; c = -105;
Δ = b2-4ac
Δ = 57.642-4·5.798·(-105)
Δ = 5757.5296
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{-(57.64)-\sqrt{5757.5296}}{2*5.798}=\frac{-57.64-\sqrt{5757.5296}}{11.596}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(57.64)+\sqrt{5757.5296}}{2*5.798}=\frac{-57.64+\sqrt{5757.5296}}{11.596}
$