48.94-15.237x-0.053x^2=0

Solution for 48.94-15.237x-0.053x^2=0 equation:

48.94-15.237x-0.053x^2=0

a = -0.053; b = -15.237; c = +48.94;
Δ = b2-4ac
Δ = -15.2372-4·(-0.053)·48.94
Δ = 242.541449
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{-(-15.237)-\sqrt{242.541449}}{2*-0.053}=\frac{15.237-\sqrt{242.541449}}{-0.106}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15.237)+\sqrt{242.541449}}{2*-0.053}=\frac{15.237+\sqrt{242.541449}}{-0.106}
$