Question
Asked Feb 11, 2019

show equation has at least one solution on the indicated interval

1/x+1 = x^2-x-1 on (1,2)

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Expert Answer

Step 1

We have been given a nonlinear equation and we are supposed to show that the given equation has at least one solution on the interval (1,2).

In order to show this, we can use intermediate value theorem.

Step 2

First of all, we will rewrite the given equation as a function by bringing all the terms on the same side as shown below.

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Step 3

Now, we know that this function is continuous on the interval (1,2). Thus, we can use intermediate value theorem. As per intermediately value...

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Tagged in

Math

Calculus

Continuity