3=12/x2

Solution for 3=12/x2 equation:

3=12/x2

We move all terms to the left:

3-(12/x2)=0


Domain of the equation: x2)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(+12/x2)+3=0

We get rid of parentheses

-12/x2+3=0

We multiply all the terms by the denominator


3*x2-12=0

We add all the numbers together, and all the variables

3x^2-12=0

a = 3; b = 0; c = -12;
Δ = b2-4ac
Δ = 02-4·3·(-12)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12}{2*3}=\frac{-12}{6}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*3}=\frac{12}{6}
=2
$