13.25=1.5x^2

Solution for 13.25=1.5x^2 equation:

13.25=1.5x^2

We move all terms to the left:

13.25-(1.5x^2)=0

We get rid of parentheses

-1.5x^2+13.25=0

a = -1.5; b = 0; c = +13.25;
Δ = b2-4ac
Δ = 02-4·(-1.5)·13.25
Δ = 79.5
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{79.5}}{2*-1.5}=\frac{0-\sqrt{79.5}}{-3}
=-\frac{\sqrt{}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{79.5}}{2*-1.5}=\frac{0+\sqrt{79.5}}{-3}
=\frac{\sqrt{}}{-3}
$