# Show that the equation #\sin(x)-6x=0# has exactly one root...?

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... do I apply IVT or MVT?

... do I apply IVT or MVT?

##### 1 Answer

Nov 14, 2016

graph{(sinx-y)(6x-y)=0 [-10, 10, -5, 5]}

Yes

#### Explanation:

The function is strictly decreasing

So it can be 0 or 1 root (if it has 2 roots there would be a point between roots where

0 is a root.