

Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
The solutions to the bonus questions of a mathematics course, mth 120, offered at essex county college during the summer of 2005. The solutions involve solving for x in a quadratic equation and identifying the term in a series that does not contain x.
Typology: Quizzes
1 / 2
This page cannot be seen from the preview
Don't miss anything!
MTH 120 — Summer — 2005 Essex County College — Division of Mathematics and Physics Bonus Question #1 1 — Printed May 16, 2005
Name:
Signature:
The following questions are worth ten points total, and will be added to your quiz scores. Only correct answers will be accepted. Due 05/19/2005.^2
k=
k
54 −kxk^ = 32
Solution: Rewrite as a binomial to a power.
(x + 5)^4 = 32 x + 5 = ± 4
x = − 5 ± 4
So x = −5 + 4
32 or x = − 5 − 4
3 x
that does not contain x. Solution: The general term has this form. ( 12 k
3 x^2 2
)k ( − 1 3 x
) 12 −k
We’re looking for x to have a zero exponent.
x^2 k x^12 −k^
= x^3 k−^12 ⇒ k = 4 (^1) This document was prepared by Ron Bannon using LATEX 2ε. Source and pdf are available by emailing a request to 2 rbannon@mac.com. Bonus questions are assigned on occasion, and have strict due dates that must be adhered to. If for some reason you cannot physically make the due date, you can email either a pdf, plain text, or jpeg of your work. Please do not send Microsoft Word files. 3 Hint: It’s a binomial.
Substitute k = 4 in the general term and simplify.
( 12 4
3 x^2 2
3 x