70/x^2=26

Solution for 70/x^2=26 equation:

70/x^2=26

We move all terms to the left:

70/x^2-(26)=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


-26*x^2+70=0

We add all the numbers together, and all the variables

-26x^2+70=0

a = -26; b = 0; c = +70;
Δ = b2-4ac
Δ = 02-4·(-26)·70
Δ = 7280
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:

$\sqrt{\Delta}=\sqrt{7280}=\sqrt{16*455}=\sqrt{16}*\sqrt{455}=4\sqrt{455}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{455}}{2*-26}=\frac{0-4\sqrt{455}}{-52}
=-\frac{4\sqrt{455}}{-52}
=-\frac{\sqrt{455}}{-13}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{455}}{2*-26}=\frac{0+4\sqrt{455}}{-52}
=\frac{4\sqrt{455}}{-52}
=\frac{\sqrt{455}}{-13}
$