7/x^2=119

Solution for 7/x^2=119 equation:

7/x^2=119

We move all terms to the left:

7/x^2-(119)=0


Domain of the equation: x^2!=0

x^2!=0/

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


-119*x^2+7=0

We add all the numbers together, and all the variables

-119x^2+7=0

a = -119; b = 0; c = +7;
Δ = b2-4ac
Δ = 02-4·(-119)·7
Δ = 3332
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:

$\sqrt{\Delta}=\sqrt{3332}=\sqrt{196*17}=\sqrt{196}*\sqrt{17}=14\sqrt{17}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-14\sqrt{17}}{2*-119}=\frac{0-14\sqrt{17}}{-238}
=-\frac{14\sqrt{17}}{-238}
=-\frac{\sqrt{17}}{-17}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+14\sqrt{17}}{2*-119}=\frac{0+14\sqrt{17}}{-238}
=\frac{14\sqrt{17}}{-238}
=\frac{\sqrt{17}}{-17}
$