Question

From the Intermediate Value Theorem, is it guaranteed that there is a root of the given equation in the given interval? Explain your answer.

x4+x−3=0, (1,2)

Answer 1

start by plugging in x = 1

Answer 2

Okay, I get
4+1-3= 2
is it that simple?

Answer 3

check your math again

Answer 4

x^4 = ?

Answer 5

Oh so -1 is the answer. So what does this mean?

Answer 6

no, -1 is not the answer, we need to keep going

Answer 7

now plug in x = 2