(x*x)-40x+144=0

Solution for (x*x)-40x+144=0 equation:

(x*x)-40x+144=0

We add all the numbers together, and all the variables

(+x*x)-40x+144=0

We add all the numbers together, and all the variables

-40x+(+x*x)+144=0

We get rid of parentheses

-40x+x*x+144=0

Wy multiply elements

x^2-40x+144=0

a = 1; b = -40; c = +144;
Δ = b2-4ac
Δ = -402-4·1·144
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-32}{2*1}=\frac{8}{2}
=4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+32}{2*1}=\frac{72}{2}
=36
$