3/11x^2-33=0

Solution for 3/11x^2-33=0 equation:

3/11x^2-33=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


-33*11x^2+3=0

Wy multiply elements

-363x^2+3=0

a = -363; b = 0; c = +3;
Δ = b2-4ac
Δ = 02-4·(-363)·3
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-66}{2*-363}=\frac{-66}{-726}
=1/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+66}{2*-363}=\frac{66}{-726}
=-1/11
$