Question: Solve each of these equations by completing the square. Leave your answers in surd form. a) 3x + 12x + 2 = 0 b) 3x

Solve each of these equations by completing the square. Leave your answers in surd form.

a) 3x² + 12x + 2 = 0

b) 3x2 + 6х – 5 = 0

c) 5x2 + 50x – 7 = 0

d) 3 + 20x – 2x² = 0

e) 2x² – 8x + 1 = 0  

f) 4x² – 48x – 26 = 0  

g) 2x² – x – 12 = 0   

h) 9 + 2x – 3x² = 0

Step by Step Solution

★★★★★

3.48 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a To complete the square we need to add and subtract the square of half the coefficient of x from th... 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 Complete Pure Mathematics Questions!

Q:

The following is a list of 29 hospitals in the Cincinnati (Ohio) and Northern Kentucky region. The hospitals are identified by numbering them 00 through 28. Also included is whether the hospital is a...

Q:

Which of the following is not a semantic barrier of communication? (A) Faulty translation (B) Ambiguous words (C) Specialists language (D) Inattention

Q:

Solve by completing the square. Leave your answers in surd form. a. x 2 + 4x 7 = 0 b. x 2 10x + 2 = 0 c. x 2 + 8x 1 = 0 d. 2x 2 4x 5 = 0 e. 2x 2 + 6x + 3 = 0 f. 2x 2 8x 3 = 0

Q:

Solve by completing the square to obtain exact solutions. Show your work. a. x2 - 3x = 18 b. 3x2 - 12x - 6 = 0

Q:

Solve each of these equations by completing the square. Leave your answers in surd form. a) x + 6x + 1 = 0 b) x 4x 8=0 c) 4 2x x = 0 d) x 2 20x + 30 = 0 e) 3 + 8x x = 0 f) x + 14x 1=0 g) x 3x...

Q:

Solve each of these inequalities by completing the square. Leave your answers in surd form. a) x + 4x + 2 0 d) x 2 + 10x + 7 0 e) 2x 12x 7 0 f) 3x + 6x + 1

Q:

Solve these quadratic equations by completing the square. Leave your answers in surd form. a. x 2 + 6x + 1 = 0 b. x 2 + 12x + 3 = 0 c. x 2 + 4x 2 = 0 d. x 2 10x = 5

Q:

Solve these quadratic equations by completing the square. Leave your answers in surd form. a. 2x 2 + 6x 3 = 0 b. 5x 2 + 8x 2 = 0 c. 4x 2 x 8 = 0 d. 15 6x 2x 2 = 0

Q:

Solve the quadratic equations by completing the square. Leave answers in exact form with radicals as needed. Enter the answers in ascending order (smaller value first) Convert the square root to...

Q:

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,...

Q:

2/8/2016 NS116 Practice Final Mandie AdlerMOL NS116 (6 Week), section XM1A, Winter 2016 Instructor: Linda Desjardines WebAssign NS116 Practice Final (Homework) Current Score : - / 20 Due : Thursday,...

Q:

What alternatives did DrawQuest have for generating income for its app? Why do you think the company didnt try any of these alternatives before shutting down?

Q:

Fountain Inc. has 5,000,000 shares of common stock outstanding on January 1, 2014. It issued an additional 1,000,000 shares of common stock on April 1, 2014, and 500,000 more on July 1, 2014. On...

Q:

Laird Golf has decided to sell a new line of golf clubs. The clubs will sell for \ ( \ $ 7 1 5 \ ) per set and have a variable cost of \ ( \ $ 3 8 5 \ ) per set. The company has spent \ ( \ $ 1 5 0 ,...

Q:

=+c. Draw a histogram of the data using relative frequency on the vertical scale, and comment on its features.

Q:

A researcher hypothesizes that individuals who listen to classical music will score differently from the general population on a test of spatial ability. On a standardized test of spatial ability, =...

Q:

You read in a health magazine about a study in which a new therapy technique for depression was examined. A group of depressed individuals volunteered to participate in the study, which lasted 9...

Q:

On the most recent exam in your biology class, every student earned an A. The professor claims that he must really be a good teacher for all of the students to have done so well. Given the confounds...

Q:

On January 1, 2010 Herschel Locks Corporation purchased drilling equipment for $11,500. The equipment has an estimated useful life of four years and a salvage value of $200. Assuming that Herschel...

Q:

The first of ten semiannual payments of $2800 will be made 512512 years from today. What is the present value of this deferred annuity using a discount rate of 7.8% compounded semiannually? (Do not...

Q:

QUESTION ONE (12 marks) Propare the required joumal entries on the following page showing ary tequirod calculations to recelve full marks a) Ames and Brodorick have deternined that their share of the...