0,5x^2+5,5x=73

Solution for 0,5x^2+5,5x=73 equation:

0.5x^2+5.5x=73

We move all terms to the left:

0.5x^2+5.5x-(73)=0

a = 0.5; b = 5.5; c = -73;
Δ = b2-4ac
Δ = 5.52-4·0.5·(-73)
Δ = 176.25
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{-(5.5)-\sqrt{176.25}}{2*0.5}=\frac{-5.5-\sqrt{176.25}}{1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5.5)+\sqrt{176.25}}{2*0.5}=\frac{-5.5+\sqrt{176.25}}{1}
$