5/2y^2=90

Solution for 5/2y^2=90 equation:

5/2y^2=90

We move all terms to the left:

5/2y^2-(90)=0


Domain of the equation: 2y^2!=0

y^2!=0/2

y^2!=√0

y!=0

y∈R


We multiply all the terms by the denominator


-90*2y^2+5=0

Wy multiply elements

-180y^2+5=0

a = -180; b = 0; c = +5;
Δ = b2-4ac
Δ = 02-4·(-180)·5
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*-180}=\frac{-60}{-360}
=1/6
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*-180}=\frac{60}{-360}
=-1/6
$