(x*x)-8x+15=0

Solution for (x*x)-8x+15=0 equation:

(x*x)-8x+15=0

We add all the numbers together, and all the variables

(+x*x)-8x+15=0

We add all the numbers together, and all the variables

-8x+(+x*x)+15=0

We get rid of parentheses

-8x+x*x+15=0

Wy multiply elements

x^2-8x+15=0

a = 1; b = -8; c = +15;
Δ = b2-4ac
Δ = -82-4·1·15
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-2}{2*1}=\frac{6}{2}
=3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+2}{2*1}=\frac{10}{2}
=5
$