50=350/(x^2)

Solution for 50=350/(x^2) equation:

50=350/(x^2)

We move all terms to the left:

50-(350/(x^2))=0


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

x!=0/1

x!=0

x∈R


We get rid of parentheses

-350/x^2+50=0

We multiply all the terms by the denominator


50*x^2-350=0

We add all the numbers together, and all the variables

50x^2-350=0

a = 50; b = 0; c = -350;
Δ = b2-4ac
Δ = 02-4·50·(-350)
Δ = 70000
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:

$\sqrt{\Delta}=\sqrt{70000}=\sqrt{10000*7}=\sqrt{10000}*\sqrt{7}=100\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100\sqrt{7}}{2*50}=\frac{0-100\sqrt{7}}{100}
=-\frac{100\sqrt{7}}{100}
=-\sqrt{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{7}}{2*50}=\frac{0+100\sqrt{7}}{100}
=\frac{100\sqrt{7}}{100}
=\sqrt{7}
$