14-x^2=-6x+23

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Solution for 14-x^2=-6x+23 equation:



14-x^2=-6x+23
We move all terms to the left:
14-x^2-(-6x+23)=0
We add all the numbers together, and all the variables
-1x^2-(-6x+23)+14=0
We get rid of parentheses
-1x^2+6x-23+14=0
We add all the numbers together, and all the variables
-1x^2+6x-9=0
a = -1; b = 6; c = -9;
Δ = b2-4ac
Δ = 62-4·(-1)·(-9)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-6}{-2}=+3$

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