(1/4)*4y=1y

Solution for (1/4)*4y=1y equation:

(1/4)*4y=1y

We move all terms to the left:

(1/4)*4y-(1y)=0


Domain of the equation: 4)*4y!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

(+1/4)*4y-1y=0

We add all the numbers together, and all the variables

-1y+(+1/4)*4y=0

We multiply parentheses

4y^2-1y=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:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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