- #1

sara_87

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## Homework Statement

Show that there exists one root int (0,2) of the following function:

f(x)=(1-x^2)^2-√((1-x^2)*(1-1/2*x^2))

## Homework Equations

## The Attempt at a Solution

I first found:

f(0)=0

and

f(2)=7.268

But, i don't know what to do now. I'm not sure if it has something to do with the mean value theorem or not, or if i have to differentiate or not.

Any ideas will be very much appreciated.

Thank you.