10x-13=x2+12

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Solution for 10x-13=x2+12 equation: 



10x-13=x2+12

We move all terms to the left:

10x-13-(x2+12)=0

We add all the numbers together, and all the variables

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

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

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