SOLUTION: Find an interval in the form [n,n+1] such that the equation x^4 - x = 5 has a solution in the in interval.
Please show how you solved.
Thank you
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Question 989860: Find an interval in the form [n,n+1] such that the equation x^4 - x = 5 has a solution in the in interval.
Please show how you solved.
Thank you
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Write the equation as a function:
\ =\ x^4\ -\ x\ -\ 5)
Check a few values.
\ =\ -5)
\ =\ -5)
\ =\ 9)
By the intermediate value theorem, since 0 is between -5 and 9, there must be a value 
between 1 and 2 such that \ =\ 0)
John
My calculator said it, I believe it, that settles it
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