x+1/4x=1

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Solution for x+1/4x=1 equation:



x+1/4x=1
We move all terms to the left:
x+1/4x-(1)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
We multiply all the terms by the denominator
x*4x-1*4x+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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