4500=50/x^2

Solution for 4500=50/x^2 equation:

4500=50/x^2

We move all terms to the left:

4500-(50/x^2)=0


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

x!=0/1

x!=0

x∈R


We get rid of parentheses

-50/x^2+4500=0

We multiply all the terms by the denominator


4500*x^2-50=0

We add all the numbers together, and all the variables

4500x^2-50=0

a = 4500; b = 0; c = -50;
Δ = b2-4ac
Δ = 02-4·4500·(-50)
Δ = 900000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{900000}=\sqrt{90000*10}=\sqrt{90000}*\sqrt{10}=300\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-300\sqrt{10}}{2*4500}=\frac{0-300\sqrt{10}}{9000}
=-\frac{300\sqrt{10}}{9000}
=-\frac{\sqrt{10}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+300\sqrt{10}}{2*4500}=\frac{0+300\sqrt{10}}{9000}
=\frac{300\sqrt{10}}{9000}
=\frac{\sqrt{10}}{30}
$