10x-13=(x*x)+12

Solution for 10x-13=(x*x)+12 equation:

10x-13=(x*x)+12

We move all terms to the left:

10x-13-((x*x)+12)=0

We add all the numbers together, and all the variables

10x-((+x*x)+12)-13=0


We calculate terms in parentheses: -((+x*x)+12), so:

(+x*x)+12

We get rid of parentheses

x*x+12

Wy multiply elements

x^2+12

Back to the equation:

-(x^2+12)


We get rid of parentheses

-x^2+10x-12-13=0

We add all the numbers together, and all the variables

-1x^2+10x-25=0

a = -1; b = 10; c = -25;
Δ = b2-4ac
Δ = 102-4·(-1)·(-25)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-10}{-2}=+5$