4x(1/4)=x

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



4x(1/4)=x
We move all terms to the left:
4x(1/4)-(x)=0
We add all the numbers together, and all the variables
4x(+1/4)-x=0
We add all the numbers together, and all the variables
-1x+4x(+1/4)=0
We multiply parentheses
4x^2-1x=0
a = 4; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·4·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*4}=\frac{0}{8} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*4}=\frac{2}{8} =1/4 $

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