x^2-0.24*x-0.016=0

Solution for x^2-0.24*x-0.016=0 equation:

x^2-0.24x-0.016=0

a = 1; b = -0.24; c = -0.016;
Δ = b2-4ac
Δ = -0.242-4·1·(-0.016)
Δ = 0.1216
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{-(-0.24)-\sqrt{0.1216}}{2*1}=\frac{0.24-\sqrt{0.1216}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.24)+\sqrt{0.1216}}{2*1}=\frac{0.24+\sqrt{0.1216}}{2}
$