Question: The method of completing the square is used several times in this text. It is a useful method for combining several quadratic and linear polynomials

The method of completing the square is used several times in this text. It is a useful method for combining several quadratic and linear polynomials into a perfect square plus a constant. Prove the following identity, which is one general form of completing the square:

i=1 i-1 ai

Step by Step Solution

★★★★★

3.37 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

First expand the left side of the equation to get Now collect all the squared a... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

602-M-S-D-D (862).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Someone please help. thank you! I did some of it but i don't think it is correct. below is the information for the excel sheet. The following events occurred during the year. Book the entries...

In problems, use the method of completing the square, along with a trigonometric substitution if needed, to evaluate each integral. (a) dx/(x2 + 2x + 5) (b) dx/(x2 + 4x + 5)

In Problems 1-3, use the process of completing the square to transform the given equation to a standard form. Then name the corresponding curve and sketch its graph. 1. 4x2 + 4y2 - 24x + 36y + 81 = 0...

Several times in this chapter I have drawn a parallel between hypothesis testing and our judicial system. How would you describe the workings of our judicial system in terms of Type I and Type II...

Module 7 Quadratic Equations An earlier module dealt with first degree equations. In this module the study of equations continues with second degree equations in one variable. These are termed...

9/14/10 12:27 PM Page 321 Chapter dug84356_ch05a.qxd 5 Factoring The sport of skydiving was born in the 1930s soon after the military began using parachutes as a means of deploying troops. Today,...

I need to see the SPSS output. You need to have all z-scores, all charts, all descriptives data from SPSS, everything you used to answer the questions. I am sending you what the previous tutor sent...

Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...

12 Chapter A4148 23218 6/8/01 6:25 PM Page 361 12Initiating Objectives After reading this chapter, you will be able to: 1. Understand the importance of initiating projects that add value to an...

Jones & Bartlett Learning, LLC. NOT FOR RESALE OR DISTRIBUTION CHAPTER Hot Spot Analysis 10 LEARNING OBJECTIVES C A R R Provide a working definition of a \"hot spot.\" , Be able to explain different...

Needing ANSWERS ASAP! Starting at pg 34 - Labeled Graded Project 06155200: Graded Project Instructions & Worksheets 1 Lesson 1: Business, Accounting, and You PROJECT GOAL The goal of this graded...

Identify and examine the marketing philosophy/concept of the organization selected. Examine whether it is properly implemented and propose some ways of improvement. Does it fit to the states of...

The following table gives data on the pair of variables (Y) and (X): Y 36 37 38 41 42 45 48 54 59 67 78 X 13 13.7 14.1 15.5 14.2 14.7 15.9 17.6 19.7 22.0 24.6 Use Megastat to: a) Calculate the...

Given the points ( 1 0 , - 6 ) and ( 9 , 9 ) , find the rate of change between the points.

A constant-volume tank contains a mixture of 1 kmol of benzene (C6H6) gas and 30 percent excess air at 25C and 1 atm. The contents of the tank are now ignited, and all the hydrogen in the fuel burns...

To supply heated air to a house, a high-efficiency gas furnace burns gaseous propane (C3H8) with a combustion efficiency of 96 percent. Both the fuel and 140 percent theoretical air are supplied to...

For this problem, use a formula from this chapter, but first state the formula. Frames arrive randomly at a 100-Mbps channel for transmission. If the channel is busy when a frame arrives, it waits...

Forced-convection heat transfer from an isolated sphere (a) A solid sphere 1 in. in diameter is placed in an otherwise undisturbed air stream, which approaches at a velocity of 100 ft/s, a pressure...

Heat transfer in laminar tube flow, One hundred pounds per hour of oil at 100F is flowing through a 1-in.i.d. Copper tube, 20ft long the inside surface of the tube is maintained at 215F by condensing...

17. Using the five macroeconomic factors described in the text, you outline the factor ex- posures of two stocks as follows:

The incidence of a certain type of chromosome defect in the U.S. adult male population is believed to be 1 in 75. A random sample of 800 individuals in U.S. penal institutions reveals 16 who have...

In an investigation of the toxin produced by a certain poisonous snake, a researcher prepared 26 different vials, each containing 1 g of the toxin, and then determined the amount of antitoxin needed...

The sample average unrestrained compressive strength for 45 specimens of a particular type of brick was computed to be 3107 psi, and the sample standard deviation was 188. The distribution of...

1. Which of the following comes closest to the payback of a project that requires an initial investment of $1,000 and produces cash flow of $105 beginning at the end of one year and continuing...

Your client is 3 6 years old. She wants to begin saving for retirement, with the first payment to come one year from now. She can save $ 8 , 0 0 0 per year, and you advise her to invest it in the...

To assess the market value of the firm's underlying business using valuation ratios bused on the firm's enterprise value, we commonly calculate the ratio of enterprise value to sules revenue,...