The love formula

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$$\huge x^2+(\frac{5y}{4} -\sqrt {|x|})^2=1$$ Just playing around, off course any non graphics calculator cannot render the graph. But its a cute equation.
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Solving a cubic expression with two x variables.

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 The first time a saw this expression it looked unsolvable and more like a riddle. That is to my layman's eyes off course. Experienced mathematicians solve it during a morning jog. Anyway, it looked challenging enough. Sometimes the simplest things are the hardest to solve.
$$\large x^4 = 2^x $$

In order to solve this expression we need to set it to equal zero.
$$\large x^4 - 2^x = 0 $$

[f][R↓]    
[g][R/S]
[f][SST]C
[4][yx][X<>Y]
[2][X<>Y][yx][-]
[g][GSB]
[g][R/S]

There are actually two roots. With a little insight to your equation, you can get acurate solutions. To solve for the lower root we enter the following key sequence:

[0][ENTER]
[2][0]
[f][SOLVE][C]

First root is -0.8613
To find the second root change the range:

[1][0][ENTER]
[2][0]
[f][SOLVE][C]

The answer should be 16
Enjoy!
Acknowledgment:
I have to admit I got stuck with this small program for several months. After so many futile attempts I thought to get help from Edward Shore. He gracefully helped me via email where I went wrong. So thank you Eddie, it is highly appreciated. Visit Eddies math website at: http://edspi31415.blogspot.com

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