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please show equation

2^x = x^2

i try to plot graph that found three answers.

2 , 4 , and another one -1

2007-05-21 15:47:53 · 7 answers · asked by PaeKm 3 in Science & Mathematics Mathematics

7 answers

x = 2 or 4 by inspection

oooh - what a pain ... there is another root

y = 2^x - x^2

You might have to use Newton's method to get that third root

It's somewhere near x = -0.77

2007-05-21 15:51:57 · answer #1 · answered by Orinoco 7 · 0 0

2 and 4 are solutions. There should also be a solution somewhere around -.5 but i'm only going by what's in my head.

2007-05-21 15:51:41 · answer #2 · answered by cobblestonehero 3 · 0 0

Graphing this is as good as anything else. You probably DO have 3 answers. Transcentential equations are bitchy.

2007-05-21 15:59:41 · answer #3 · answered by cattbarf 7 · 0 0

If you plot the difference ( I used my TI-83), you'll see a really interesting curve. It does show three solutions

The tricky one is at x= -0.767; (y= 0.588)

2007-05-21 16:08:22 · answer #4 · answered by modulo_function 7 · 0 0

log 2^x=log x^2,,,,,,x log 2=2 log x,,,,,,,,,,x/log x=2/log2,,,,,,,,,i dont remember very well the rest but those are the answers.
x= - 0.766665, 4, 2.

2007-05-21 16:03:03 · answer #5 · answered by mathlover 2 · 0 0

x=2
x=0.766665
x=4

2007-05-21 15:57:27 · answer #6 · answered by K M 2 · 0 1

there is no answere

2007-05-21 15:51:22 · answer #7 · answered by Anonymous · 0 1

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