Question

How do you find if the eqn has a root with a given interval

Answer 1

For example... x^10 - 10x^2 +5 with given interval (0,2)... How do you fins a root?

Answer 2

find*

Answer 3

you need to know if it has a root, or you need to actually find the root

Answer 4

?

Answer 5

if it has a root, how do you find out if it does?

Answer 6

you can use the intermediate value theorem. change the equation into a function. then plug in the bounds of the interval you are given into this function. since your function is a polynomial, it's continuous