5x^2+13.4x-18.2=0

Solution for 5x^2+13.4x-18.2=0 equation:

5x^2+13.4x-18.2=0

a = 5; b = 13.4; c = -18.2;
Δ = b2-4ac
Δ = 13.42-4·5·(-18.2)
Δ = 543.56
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{-(13.4)-\sqrt{543.56}}{2*5}=\frac{-13.4-\sqrt{543.56}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13.4)+\sqrt{543.56}}{2*5}=\frac{-13.4+\sqrt{543.56}}{10}
$