x(x+1)=1.44^2

Solution for x(x+1)=1.44^2 equation:

x(x+1)=1.44^2

We move all terms to the left:

x(x+1)-(1.44^2)=0

We add all the numbers together, and all the variables

x(x+1)-2.0736=0

We multiply parentheses

x^2+x-2.0736=0

a = 1; b = 1; c = -2.0736;
Δ = b2-4ac
Δ = 12-4·1·(-2.0736)
Δ = 9.2944
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{-(1)-\sqrt{9.2944}}{2*1}=\frac{-1-\sqrt{9.2944}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{9.2944}}{2*1}=\frac{-1+\sqrt{9.2944}}{2}
$