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need the roots of the following equations?
i need to find the roots for the given functions:
f(x)=(x^2+2x-3)e^x+e^x(2x+2)
f(x)=x^2*times*e^x-3e^x
f(w)=-2w^2*times*e^(-w)^2+e^(-w)^2
Sorry if these equations dont look right, I'm not used to typing equations on a computer, only on a calculater, in a moment I will be adding a picture of the equations.
...ok nevermind it appears I cannot add a picture
1 Answer
- SqdancefanLv 78 years agoFavorite Answer
It looks as if you have an exponential function multiplied by a polynomial. The exponential function will never change sign, so any roots are those of the polynomial.
.. f(x) = (x^2+2x-3)e^x + (2x+2)e^x = (x^2+4x-1)e^x
.. roots are those of x^2+4x-1, namely x = -2 ± √5
.. f(x) = (x^2-3)e^x has roots x = ± √3
.. f(x) = -2w^2e^(w^2) has root w = 0
