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Math Help - Finding roots by linear interpolation

  1. #1
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    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!
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  2. #2
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    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.
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  3. #3
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    i copied it exactly, its just that it was really weird.
    thanks
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