hello how would i show that the equationhas one real root..
am not sure what to do with thefunction
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hello how would i show that the equation
am not sure what to do with the
You want the zeros of,
. Observe by differentiation that f is strictly increasing. Therefore if f has at most one root, since if a<b were two distinct roots we could chuse a<c<b, and 0=f(a)<f(c)<f(b)=0, a contradiction. To see that one root exists, evaluate f near zero to get a negative value and then above 4 to get a positive value and use the IVT.
Hello, sigma1!
How about a graphing approach?
Quote:
How would i show that the equationhas one real root?
Graph the functions: .. and note their intersection(s), if any.
Code:|
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4o
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- - + -o- - - - o - - - - - - - - - -
| *1 4 *
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|*
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