x(x+2)=19,25

Solution for x(x+2)=19,25 equation:

x(x+2)=19.25

We move all terms to the left:

x(x+2)-(19.25)=0

We add all the numbers together, and all the variables

x(x+2)-19.25=0

We multiply parentheses

x^2+2x-19.25=0

a = 1; b = 2; c = -19.25;
Δ = b2-4ac
Δ = 22-4·1·(-19.25)
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-9}{2*1}=\frac{-11}{2}
=-5+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+9}{2*1}=\frac{7}{2}
=3+1/2
$