X=30x2/3

Solution for X=30x2/3 equation:

X=30X^2/3

We move all terms to the left:

X-(30X^2/3)=0

We get rid of parentheses

-30X^2/3+X=0

We multiply all the terms by the denominator


-30X^2+X*3=0

Wy multiply elements

-30X^2+3X=0

a = -30; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-30)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*-30}=\frac{-6}{-60}
=1/10
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-30}=\frac{0}{-60}
=0
$