x2=x/4

Solution for x2=x/4 equation:

x2=x/4

We move all terms to the left:

x2-(x/4)=0

We add all the numbers together, and all the variables

x2-(+x/4)=0

We add all the numbers together, and all the variables

x^2-(+x/4)=0

We get rid of parentheses

x^2-x/4=0

We multiply all the terms by the denominator


x^2*4-x=0

We add all the numbers together, and all the variables

x^2*4-1x=0

Wy multiply elements

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
$