50=70/(x)^2

Solution for 50=70/(x)^2 equation:

50=70/(x)^2

We move all terms to the left:

50-(70/(x)^2)=0


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

x!=0/1

x!=0

x∈R


We get rid of parentheses

-70/x^2+50=0

We multiply all the terms by the denominator


50*x^2-70=0

We add all the numbers together, and all the variables

50x^2-70=0

a = 50; b = 0; c = -70;
Δ = b2-4ac
Δ = 02-4·50·(-70)
Δ = 14000
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:

$\sqrt{\Delta}=\sqrt{14000}=\sqrt{400*35}=\sqrt{400}*\sqrt{35}=20\sqrt{35}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{35}}{2*50}=\frac{0-20\sqrt{35}}{100}
=-\frac{20\sqrt{35}}{100}
=-\frac{\sqrt{35}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{35}}{2*50}=\frac{0+20\sqrt{35}}{100}
=\frac{20\sqrt{35}}{100}
=\frac{\sqrt{35}}{5}
$