x(3/2)=16.2

Solution for x(3/2)=16.2 equation:

x(3/2)=16.2

We move all terms to the left:

x(3/2)-(16.2)=0

We add all the numbers together, and all the variables

x(+3/2)-(16.2)=0

We add all the numbers together, and all the variables

x(+3/2)-16.2=0

We multiply parentheses

3x^2-16.2=0

a = 3; b = 0; c = -16.2;
Δ = b2-4ac
Δ = 02-4·3·(-16.2)
Δ = 194.4
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{-(0)-\sqrt{194.4}}{2*3}=\frac{0-\sqrt{194.4}}{6}
=-\frac{\sqrt{}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{194.4}}{2*3}=\frac{0+\sqrt{194.4}}{6}
=\frac{\sqrt{}}{6}
$