X+x2/3=55

Solution for X+x2/3=55 equation:

X+X2/3=55

We move all terms to the left:

X+X2/3-(55)=0

We multiply all the terms by the denominator


X*3+X2-55*3=0

We add all the numbers together, and all the variables

X^2+X*3-165=0

Wy multiply elements

X^2+3X-165=0

a = 1; b = 3; c = -165;
Δ = b2-4ac
Δ = 32-4·1·(-165)
Δ = 669
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{-(3)-\sqrt{669}}{2*1}=\frac{-3-\sqrt{669}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{669}}{2*1}=\frac{-3+\sqrt{669}}{2}
$