x2/3+x=50

Solution for x2/3+x=50 equation:

x2/3+x=50

We move all terms to the left:

x2/3+x-(50)=0

We add all the numbers together, and all the variables

x+x2/3-50=0

We multiply all the terms by the denominator


x*3+x2-50*3=0

We add all the numbers together, and all the variables

x^2+x*3-150=0

Wy multiply elements

x^2+3x-150=0

a = 1; b = 3; c = -150;
Δ = b2-4ac
Δ = 32-4·1·(-150)
Δ = 609
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{609}}{2*1}=\frac{-3-\sqrt{609}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{609}}{2*1}=\frac{-3+\sqrt{609}}{2}
$