1.5y^2=135

Solution for 1.5y^2=135 equation:

1.5y^2=135

We move all terms to the left:

1.5y^2-(135)=0

a = 1.5; b = 0; c = -135;
Δ = b2-4ac
Δ = 02-4·1.5·(-135)
Δ = 810
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{810}=\sqrt{81*10}=\sqrt{81}*\sqrt{10}=9\sqrt{10}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-9\sqrt{10}}{2*1.5}=\frac{0-9\sqrt{10}}{3}
=-\frac{9\sqrt{10}}{3}
=-3\sqrt{10}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+9\sqrt{10}}{2*1.5}=\frac{0+9\sqrt{10}}{3}
=\frac{9\sqrt{10}}{3}
=3\sqrt{10}
$