1.5=y^2

Solution for 1.5=y^2 equation:

1.5=y^2

We move all terms to the left:

1.5-(y^2)=0

We add all the numbers together, and all the variables

-1y^2+1.5=0

a = -1; b = 0; c = +1.5;
Δ = b2-4ac
Δ = 02-4·(-1)·1.5
Δ = 6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{6}}{2*-1}=\frac{0-\sqrt{6}}{-2}
=-\frac{\sqrt{}}{-2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{6}}{2*-1}=\frac{0+\sqrt{6}}{-2}
=\frac{\sqrt{}}{-2}
$