Can the intermediate value theorem be applied to show that there is a root of the equation x^5-x^3+3x-5=0 in the given interval ]1,2[?If yes , apply it
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Expert's answer
2020-03-05T16:59:17-0500
"f(x)= x^5-x^3+3x-5=0"
"f(1)=-2\\\\f(2)=25"
There is a change of sign of "f" when "x" passes from 1 to 2, it means there will be some intermediate value of "x" in [1,2] for which "f(x) =0" which means there is a root in [1,2].
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