$\phi$ v.s $e$ and $\pi$

Algebra Level 4

$\sqrt{x - \phi} = e - \pi$ $x = ???$

e^2 -2e\pi + \pi^2 + \phi

e^2 + 2e\pi + \pi^2 + \phi

no solution

e^2 - 2e\pi + \pi^2 - \phi

1 solution

Paul Ryan Longhas
Apr 14, 2015

Recall: $\sqrt{a} \geq 0$ for any $a \geq 0$

$e - \pi\ <0$

$\Rightarrow \sqrt{x - \phi} < 0$

So, x has no solution.

what is ''e''?

Pranav Sarda - 6 years ago

Euler's Constant

Paul Ryan Longhas - 6 years ago

Euler's constant is usually denoted $\gamma$. I think you are actually referring to what is more-commonly called Euler's number (although I personally refer to it as the exponential to avoid confusion).

CJ Lungstrum - 5 years, 9 months ago

ϕ \phi ϕ v.s e e e and π \pi π

1 solution

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$\phi$ v.s $e$ and $\pi$