9x^2+6x+1=361x^2

Solution for 9x^2+6x+1=361x^2 equation:

9x^2+6x+1=361x^2

We move all terms to the left:

9x^2+6x+1-(361x^2)=0

determiningTheFunctionDomain
9x^2-361x^2+6x+1=0

We add all the numbers together, and all the variables

-352x^2+6x+1=0

a = -352; b = 6; c = +1;
Δ = b2-4ac
Δ = 62-4·(-352)·1
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-38}{2*-352}=\frac{-44}{-704}
=1/16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+38}{2*-352}=\frac{32}{-704}
=-1/22
$