0=x2-9x+13

Solution for 0=x2-9x+13 equation:

0=x2-9x+13

We move all terms to the left:

0-(x2-9x+13)=0

We add all the numbers together, and all the variables

-(+x^2-9x+13)+0=0

We add all the numbers together, and all the variables

-(+x^2-9x+13)=0

We get rid of parentheses

-x^2+9x-13=0

We add all the numbers together, and all the variables

-1x^2+9x-13=0

a = -1; b = 9; c = -13;
Δ = b2-4ac
Δ = 92-4·(-1)·(-13)
Δ = 29
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{-(9)-\sqrt{29}}{2*-1}=\frac{-9-\sqrt{29}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{29}}{2*-1}=\frac{-9+\sqrt{29}}{-2}
$