SOLUTION: solution set of x^4+(2-x)^4=34,x is real number, is

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Question 977730: solution set of x^4+(2-x)^4=34,x is real number, is
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E4%2B4-4x%2Bx%5E2-34=0
x%5E4%2Bx%5E2-4x-30=0

This will have no rational roots. There are two irrational real roots, so those are what you want to find. Use what you might know of upper and lower bound testing, or find two values around which the sign for the function changes. Use whatever numerical techniques you have which let you get the roots as accurately as you need.

You should find the roots near 2.412...., and -2.049...