x=10.5x2/3

Solution for x=10.5x2/3 equation:

x=10.5x^2/3

We move all terms to the left:

x-(10.5x^2/3)=0

We get rid of parentheses

-10.5x^2/3+x=0

We multiply all the terms by the denominator


-10.5x^2+x*3=0

Wy multiply elements

-10.5x^2+3x=0

a = -10.5; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-10.5)·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*-10.5}=\frac{-6}{-21}
=2/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-10.5}=\frac{0}{-21}
=0
$