Question

Whats the easiest way to solve for x here?
4sqrt(x)=(1/16)x^2

Answer 1

\[4\sqrt{x}=\frac{ 1 }{ 16 }x^2\]

Answer 2

im doing this for integration to find the area between the curves, and it seems like completing the square for this is a really long process when added on top of the integration. I bet there's a trick to know the bounds faster

Answer 3

graphing?

Answer 4

wolfram alpha. Can't get faster than that lol

Answer 5

maybe factoring if you have to do it by hand
\[4\sqrt{x}-\frac{1}{16}x^2=0\]
\[\frac{ 1 }{ 16 }\sqrt{x}(64-x^\frac{3}{2})=0\]
\[\sqrt{x}=0 \rightarrow x=0\]
\[(64-x^\frac{3}{2})=0\rightarrow x=16\]

Answer 6

I like that @peachpi I didnt think of that thank you. Wolfram Alpha is great but unfortunately I cant use it on the test :P