Question: Use completing the square to prove that n 2 2n 3 is negative for all values of n.

Use completing the square to prove that −n2 − 2n − 3 is negative for all values of n.

Step by Step Solution

★★★★★

3.39 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To prove that the expression n2 2n 3 is negative for all values of n we can use comp... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Edexcel AS And A Level Mathematics Questions!

Q:

Reconsider the law firm of Exercise 5.1. Assume the prevailing revenues per shopping and medical projects are $ 4000 and $ 5000 per project, respectively, and that out of pocket expenses associated...

Q:

Use completing the square to prove that 3n 2 4n + 10 is positive for all values of n.

Q:

Use completing the square to prove that n 2 8n + 20 is positive for all values of n.

Q:

Prove that n2 + 1 2n when n is a positive integer with 1 n 4.

Q:

1. A. Reduce to lowest terms: 391/437 [you MUST use difference method] B. Simplify: -52 - (-4)2 (-3) C. Which is larger: 16300 or 8399 ? (EXPLAIN!) D. single fraction: (3-2 + 4-1) -1 E. Simplify:...

Q:

BA 1605: Midterm Recap (Due: Feb. 27, 2015) Name _____________________________ 50 Student ID _____________________________ Section 01B 10:00~11:20 am Section 02B 01:00~02:20 pm [Questions 4 ~ 7] The...

Q:

Midterm 1. Are the expressions p q and q p logically equivalent? Use a truth table to prove your answer. 2. Determine whether the following propositions are true or false: a. 5 is an odd number and 3...

Q:

# 7 (chapter 5)(40 points, Due on Friday November 11) Question 1. [3 points each] Use the definition of Limit of functions to prove that x2 2 . 5 5 2 lim x 3 x 1 1 (B) x 1 (A) lim x 0 if x 2 2x (C)...

Q:

1. Suppose X has a mean and standard deviation ; let X Z . Calculate the mean of Z, using the mean/variance of a linear combination of random variables. 2. Suppose X has a mean and standard deviation...

Q:

9/14/10 12:39 PM Page 381 Chapter dug84356_ch06a.qxd 6 Rational Expressions Advanced technical developments have made sports equipment faster, lighter, and more responsive to the human body. Behind...

Q:

APPLICATIONS: QUADRATICS This is a series of problems in which you will apply the ideas you worked with this week. You should print out the handout for this problem write your work and answers here...

Q:

The benzyl ammonium ion (C6H5CH2NH3) has pKa 9.33, and the propyl ammonium ion has pKa = 10.71. Which is the stronger base, benzyl amine or propylamine? What are the pKbS of benzyl amine and...

Q:

Refer to the information for Healthy Pet Company on the previous page. Assume that Healthy Pet actually produced 120,000 bags of BasicDiet and 100,000 bags of SpecialDiet. The actual overhead costs...