What are the solutions for $2^x=x^2$?
I noticed there were 2 roots: $2,4$.
Are there any other roots, and how do you calculate them?
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there is a negative root. You can numerically approximate it. Just graph both curves carefully for $-1 < x < 5$ you will see that they cross three times. – Will Jagy Mar 23 '16 at 23:10
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Can you use Newton's Method? – Mike B. Mar 23 '16 at 23:13
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Lambert W function can solve it for real and complex solutions. – Simply Beautiful Art Mar 23 '16 at 23:19
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The answers include $2$,$4$ and the negative root is $-0.766665$.Since the bases are the same,setting the exponents equal to each other, you get this.If you want to see a better description of the answer, go to the page where it was first answered.
user242559
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