Using a graphing device to solve the equality express your answer using interval notation, with the importance of the intervals rounded to two decimals. x^4-5x^3+18x>0
Using a graphing device to solve the equality express your answer using interval notation, with the importance of the intervals rounded to two decimals. x^4-5x^3+18x>0
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.7: Polynomial And Rational Inequalities
Problem 48E
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Question
Using a graphing device to solve the equality express your answer using interval notation, with the importance of the intervals rounded to two decimals.
x^4-5x^3+18x>0
Expert Solution
Step 1
Given :
The inequality
To solve :
The inequality and express using interval notation.
Step 2
Given inequality is
To solve it for x, we take
Let , then
Therefore, the factors of
Using quadratic formula to solve
,
where a = 1 , b = -2 and c = -6
Therefore, x = 0 , 3 , .
x = 0 , - 1.65 , 3 and 3.65.
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