Euler Would Love This One

Algebra Level 3

$\large{e^{2x}+2e^{x}+1=0}$ Solve the above equation for $x$ .

Note: $i = \sqrt{-1}$

i \pi (2n+1)

i \pi n

\ln(2)

1 solution

Kay Xspre
Nov 30, 2015

We factorize it into $(e^x+1)^2 = 0$ . By Euler's identity, $e^{i\pi}+1 = 0$ , so we can conclude that $i\pi$ is an answer. Put it into generalized form where $n$ is an integer gives $i\pi+i2n\pi = i\pi(2n+1)$

Shoot dumb me forgot the generalized form

Mardokay Mosazghi - 5 years, 5 months ago

Euler Would Love This One

1 solution

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