2a^-4+3a^2=0

Solution for 2a^-4+3a^2=0 equation:

2a^-4+3a^2=0

We add all the numbers together, and all the variables

3a^2+2a-4=0

a = 3; b = 2; c = -4;
Δ = b2-4ac
Δ = 22-4·3·(-4)
Δ = 52
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{52}=\sqrt{4*13}=\sqrt{4}*\sqrt{13}=2\sqrt{13}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{13}}{2*3}=\frac{-2-2\sqrt{13}}{6}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{13}}{2*3}=\frac{-2+2\sqrt{13}}{6}
$