X2/3-2.66=2x

Solution for X2/3-2.66=2x equation:

X2/3-2.66=2X

We move all terms to the left:

X2/3-2.66-(2X)=0

We add all the numbers together, and all the variables

-2X+X2/3-2.66=0

We multiply all the terms by the denominator


-2X*3+X2-(2.66)*3=0

We add all the numbers together, and all the variables

X^2-2X*3-7.98=0

Wy multiply elements

X^2-6X-7.98=0

a = 1; b = -6; c = -7.98;
Δ = b2-4ac
Δ = -62-4·1·(-7.98)
Δ = 67.92
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{-(-6)-\sqrt{67.92}}{2*1}=\frac{6-\sqrt{67.92}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+\sqrt{67.92}}{2*1}=\frac{6+\sqrt{67.92}}{2}
$