1/4X-1/8y=2/3

Solution for 1/4X-1/8y=2/3 equation:

1/4X-1/8X=2/3

We move all terms to the left:

1/4X-1/8X-(2/3)=0


Domain of the equation: 4X!=0

X!=0/4

X!=0

X∈R



Domain of the equation: 8X!=0

X!=0/8

X!=0

X∈R


We add all the numbers together, and all the variables

1/4X-1/8X-(+2/3)=0

We get rid of parentheses

1/4X-1/8X-2/3=0

We calculate fractions


(-512X^2)/288X^2+72X/288X^2+(-36X)/288X^2=0

We multiply all the terms by the denominator


(-512X^2)+72X+(-36X)=0

We get rid of parentheses

-512X^2+72X-36X=0

We add all the numbers together, and all the variables

-512X^2+36X=0

a = -512; b = 36; c = 0;
Δ = b2-4ac
Δ = 362-4·(-512)·0
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-36}{2*-512}=\frac{-72}{-1024}
=9/128
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+36}{2*-512}=\frac{0}{-1024}
=0
$