0.013x^2-1.18x+26.24=0

Solution for 0.013x^2-1.18x+26.24=0 equation:

0.013x^2-1.18x+26.24=0

a = 0.013; b = -1.18; c = +26.24;
Δ = b2-4ac
Δ = -1.182-4·0.013·26.24
Δ = 0.02792
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{-(-1.18)-\sqrt{0.02792}}{2*0.013}=\frac{1.18-\sqrt{0.02792}}{0.026}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.18)+\sqrt{0.02792}}{2*0.013}=\frac{1.18+\sqrt{0.02792}}{0.026}
$