(1/2)x+(1/4)=x

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Solution for (1/2)x+(1/4)=x equation:



(1/2)x+(1/4)=x
We move all terms to the left:
(1/2)x+(1/4)-(x)=0
Domain of the equation: 2)x!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
(+1/2)x-x+(+1/4)=0
We add all the numbers together, and all the variables
-1x+(+1/2)x+(+1/4)=0
We multiply parentheses
x^2-1x+(+1/4)=0
We get rid of parentheses
x^2-1x+1/4=0
We multiply all the terms by the denominator
x^2*4-1x*4+1=0
Wy multiply elements
4x^2-4x+1=0
a = 4; b = -4; c = +1;
Δ = b2-4ac
Δ = -42-4·4·1
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{4}{8}=1/2$

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