# How do you verify the intermediate value theorem over the interval [5/2,4], and find the c that is guaranteed by the theorem such that f(c)=6 where #f(x)=(x^2+x)/(x-1)#?

##### 1 Answer

Oct 20, 2016

Please see the verification in the explanation section.

#### Explanation:

**Proof** :

**Proof:**

Therefore, there is a

To find the

Discard values outside

**Note** the solutions are