x^2+4.66x-1.33=0

Solution for x^2+4.66x-1.33=0 equation:

x^2+4.66x-1.33=0

a = 1; b = 4.66; c = -1.33;
Δ = b2-4ac
Δ = 4.662-4·1·(-1.33)
Δ = 27.0356
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{-(4.66)-\sqrt{27.0356}}{2*1}=\frac{-4.66-\sqrt{27.0356}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4.66)+\sqrt{27.0356}}{2*1}=\frac{-4.66+\sqrt{27.0356}}{2}
$