5=x^2/3000

Solution for 5=x^2/3000 equation:

5=x^2/3000

We move all terms to the left:

5-(x^2/3000)=0

We get rid of parentheses

-x^2/3000+5=0

We multiply all the terms by the denominator


-x^2+5*3000=0

We add all the numbers together, and all the variables

-1x^2+15000=0

a = -1; b = 0; c = +15000;
Δ = b2-4ac
Δ = 02-4·(-1)·15000
Δ = 60000
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:

$\sqrt{\Delta}=\sqrt{60000}=\sqrt{10000*6}=\sqrt{10000}*\sqrt{6}=100\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100\sqrt{6}}{2*-1}=\frac{0-100\sqrt{6}}{-2}
=-\frac{100\sqrt{6}}{-2}
=-\frac{50\sqrt{6}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{6}}{2*-1}=\frac{0+100\sqrt{6}}{-2}
=\frac{100\sqrt{6}}{-2}
=\frac{50\sqrt{6}}{-1}
$