2.11x^2-13.72x-7.39=0

Solution for 2.11x^2-13.72x-7.39=0 equation:

2.11x^2-13.72x-7.39=0

a = 2.11; b = -13.72; c = -7.39;
Δ = b2-4ac
Δ = -13.722-4·2.11·(-7.39)
Δ = 250.61
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{-(-13.72)-\sqrt{250.61}}{2*2.11}=\frac{13.72-\sqrt{250.61}}{4.22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13.72)+\sqrt{250.61}}{2*2.11}=\frac{13.72+\sqrt{250.61}}{4.22}
$