2x2/3-x1/3=28

Solution for 2x2/3-x1/3=28 equation:

2x^2/3-x1/3=28

We move all terms to the left:

2x^2/3-x1/3-(28)=0

We multiply all the terms by the denominator


2x^2-x1-28*3=0

We add all the numbers together, and all the variables

2x^2-1x-84=0

a = 2; b = -1; c = -84;
Δ = b2-4ac
Δ = -12-4·2·(-84)
Δ = 673
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{673}}{2*2}=\frac{1-\sqrt{673}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{673}}{2*2}=\frac{1+\sqrt{673}}{4}
$