- #1
ace123
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[SOLVED] Mean value theorem
First I just want to say that my professor hasn't gotten up to teaching us this so I may be a little slow in understanding this material and want to thank you for being patient with me.
The question asks to show that the equation X^4 -4X + c = 0 has at most two real roots.
Now I believe that c is just a constant and I just applied the Mean value theorem and got c= [tex]\sqrt[3]{2}[/tex]
So I believe that's one of my roots because I chose a= 0 and b= 2 and it lies in the interval. But now I'am at a lose as to how to find a 2nd root. All my examples in the textbook show how to find 1 real root.
I' am also not sure if what I have done so far is entirely correct. Thanks for any help, I just want a hint as to how to find a second root
Edit: can someone delete the other one I don't know why their are 2 of them I guess i clicked twice, sorry..
First I just want to say that my professor hasn't gotten up to teaching us this so I may be a little slow in understanding this material and want to thank you for being patient with me.
The question asks to show that the equation X^4 -4X + c = 0 has at most two real roots.
Now I believe that c is just a constant and I just applied the Mean value theorem and got c= [tex]\sqrt[3]{2}[/tex]
So I believe that's one of my roots because I chose a= 0 and b= 2 and it lies in the interval. But now I'am at a lose as to how to find a 2nd root. All my examples in the textbook show how to find 1 real root.
I' am also not sure if what I have done so far is entirely correct. Thanks for any help, I just want a hint as to how to find a second root
Edit: can someone delete the other one I don't know why their are 2 of them I guess i clicked twice, sorry..
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