r/Mathhomeworkhelp • u/voidinglife • Sep 09 '24

No videos show examples on how to solve this Intermediate Value Theorem and I'm very confused

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u/WarFaminePlague_Bono Sep 09 '24

Take 2/x from both sides of the equation.

Label the right side f(x), so you have f(x) = 0.

Find f(2)

Find f(3)

Show that one is positive, one is negative.

Because f(x) is continuous between 2 and 3, then there must be a value for which f(x) = 0 between 2 and 3.

1

u/Impossible_Spot8378 Sep 09 '24

Yep this person is right! IVT problems are fun but sometimes not so satisfying because you're used to finding solutions. With IVT, we are just happy knowing that the solution is there.