Given the equation:
1- sqrt(13+3x^2) = 2x
We need to solve for x.
First we will move 1 to the right side.
==> - sqrt(13+3x^2) = 2x -1
Now we will square both sides.
==> (13+3x^2) = (2x-1)^2
==> 13+ 3x^2 = 4x^2 - 4x +1
Now we will combine all terms on the left side.
==> -x^2 + 4x +12 = 0
We will multiply by -1.
==> x^2 - 4x -12 = 0
Now we will factor.
==> (x-6)(x+2) = 0
==> The answer is x = 6 and x= -2
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