5/3x^2=15

Solution for 5/3x^2=15 equation:

5/3x^2=15

We move all terms to the left:

5/3x^2-(15)=0


Domain of the equation: 3x^2!=0

x^2!=0/3

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


-15*3x^2+5=0

Wy multiply elements

-45x^2+5=0

a = -45; b = 0; c = +5;
Δ = b2-4ac
Δ = 02-4·(-45)·5
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30}{2*-45}=\frac{-30}{-90}
=1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30}{2*-45}=\frac{30}{-90}
=-1/3
$