No. of real roots.

[man111]

Determine no. of real roots of the equation $(2^x+x-1)(x-3)=-2$

[Руст]

Let $f(x)=(2^x+x-1)(x-3)+2$.
Obviosly $f(x)$ continiosly and $f(2)=-3,f(3)=2$, therefore exist root in interval (2,3).

[man111]

Here one root also lie in the interval $(0,1)$.

bcz $f(0) = 2$ and $f(1) = -2$

[Naf2000]

[url]http://www.wolframalpha.com/input/?i=(2^x%2Bx-1)*(x-3)%2B2%3D0[/url]