27=432/x^2

Solution for 27=432/x^2 equation:

27=432/x^2

We move all terms to the left:

27-(432/x^2)=0


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

x!=0/1

x!=0

x∈R


We get rid of parentheses

-432/x^2+27=0

We multiply all the terms by the denominator


27*x^2-432=0

We add all the numbers together, and all the variables

27x^2-432=0

a = 27; b = 0; c = -432;
Δ = b2-4ac
Δ = 02-4·27·(-432)
Δ = 46656
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{46656}=216$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-216}{2*27}=\frac{-216}{54}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+216}{2*27}=\frac{216}{54}
=4
$