Thread: Finding roots by linear interpolation

1. Finding roots by linear interpolation

Use linear interpolation to find the root(s) of the equation correct to 3 decimal places.

$3+x-2x^2=e^x$

I drew the graph of the functions on the two sides.
I concluded that the roots are between -0.5 and -1, and 0.5 and 1.
And found them to 3 d.p. to be -0.896 and 0.826.

My problem is that the answer given is 0. Which definitely cannot be the roots of the equations.
Thanks!

2. What do you want us to say? Yes, x= 0 is definitely NOT a root to that equation ( $3+ 0- 0\ne e^0$). Either the book is wrong or you have mistaken what it is saying.

3. i copied it exactly, its just that it was really weird.
thanks