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

Algebra ->  Equations -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!


Write the equation as a function:



Check a few values.







By the intermediate value theorem, since 0 is between -5 and 9, there must be a value between 1 and 2 such that

John

My calculator said it, I believe it, that settles it