37=7.3/x^2

Solution for 37=7.3/x^2 equation:

37=7.3/x^2

We move all terms to the left:

37-(7.3/x^2)=0


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

x!=0/1

x!=0

x∈R


We get rid of parentheses

-7.3/x^2+37=0

We multiply all the terms by the denominator


37*x^2-7.3=0

We add all the numbers together, and all the variables

37x^2-7.3=0

a = 37; b = 0; c = -7.3;
Δ = b2-4ac
Δ = 02-4·37·(-7.3)
Δ = 1080.4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{1080.4}}{2*37}=\frac{0-\sqrt{1080.4}}{74}
=-\frac{\sqrt{}}{74}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1080.4}}{2*37}=\frac{0+\sqrt{1080.4}}{74}
=\frac{\sqrt{}}{74}
$