44=1/11x^2

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

44=1/11x^2

We move all terms to the left:

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


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

x!=0/1

x!=0

x∈R


We get rid of parentheses

-1/11x^2+44=0

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
$