1/11x^2=44

Solution for 1/11x^2=44 equation:

1/11x^2=44

We move all terms to the left:

1/11x^2-(44)=0


Domain of the equation: 11x^2!=0

x^2!=0/11

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


-44*11x^2+1=0

Wy multiply elements

-484x^2+1=0

a = -484; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-484)·1
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-44}{2*-484}=\frac{-44}{-968}
=1/22
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+44}{2*-484}=\frac{44}{-968}
=-1/22
$