Question

Solve the polynomial inequality x^4>13x^2-36 and express the answer in interval notation

Answer 1

let a = x^2
a^2 = x^4

a^2 > 13a - 36
a^2 - 13a + 36 > 0
(a-9)(a-4) > 0
the roots would be a = 9 and a =4

therefore a <9 and a>4

now can you do the rest and put it in interval notation?

Answer 2

thats where i was left of at....idk wat to do from then on

Answer 3

here's a hint \[2<x<3\]
if i put this in interval notation
\[(2,3)\]
that means it's between 2 and 3 but 2 and 3 are not included because i used parenthesis. if 2 and 3 are included then it should be [2,3 ]

does that help?