0=x^2-2ln(x)-1

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Solution for 0=x^2-2ln(x)-1 equation:


Simplifying
0 = x2 + -2ln(x) + -1

Multiply ln * x
0 = x2 + -2lnx + -1

Reorder the terms:
0 = -1 + -2lnx + x2

Solving
0 = -1 + -2lnx + x2

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '2lnx' to each side of the equation.
0 + 2lnx = -1 + -2lnx + 2lnx + x2
Remove the zero:
2lnx = -1 + -2lnx + 2lnx + x2

Combine like terms: -2lnx + 2lnx = 0
2lnx = -1 + 0 + x2
2lnx = -1 + x2

Divide each side by '2nx'.
l = -0.5n-1x-1 + 0.5n-1x

Simplifying
l = -0.5n-1x-1 + 0.5n-1x

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