Solving problem using polynomial inequalities, Algebra

Assignment Help:

Example Solve 3x2 - 2 x -11 = 0.

Solution

In this case the polynomial doesn't factor thus we can't do that step.  Though, still we do have to know where the polynomial is zero. We ought to use the quadratic formula for that.  Here is what the quadratic formula gives us.

                                                        x = (1 ± √ 34)/3

In order to work the problem we'll have to reduce this to decimals.

x = (1 +√34)/3 = 2.27698                                         x = (1 -√34) /3 = -1.61032

From this instance on the procedure is identical to the earlier examples. In the number line below the dashed lines are at the estimated values of the two decimals above & the inequalities illustrate the value of the quadratic evaluated at the test points illustrated.

1488_Solving Problem using polynomial inequalities.png

Thus, it looks like we required the two outer regions for the solution.  Here is the inequality & interval notation for the solution.

-∞ < x < (1 - √34 )/3                            and          ( 1 +  √34 )/3

-∞, (1- √ 34) /3                                         and  ( 1 +√34 /3, , ∞ )


Related Discussions:- Solving problem using polynomial inequalities

Exponents and logarithms, Ask question #Minimum 100evaluate the expression ...

Ask question #Minimum 100evaluate the expression log4 (x - 7) =3 words accepted#

Word problems, Mr.Carr is installing wall-to-wall carpeting in a room that ...

Mr.Carr is installing wall-to-wall carpeting in a room that measures 12 1/2ft. by 9ft. How much will it cost Mr. Carr if he purchases carpet priced at $26.00 per square yard?

HELP!, you have just been hired as manager of pi pizza, a small business th...

you have just been hired as manager of pi pizza, a small business that makes frozen pizzas for sale. Pi makes 12 inch pizzas for a profit of $2 a box and 16 inch pizzas for a profi

Earthquake intensity, Earthquake Intensity Commonly the Richter scale i...

Earthquake Intensity Commonly the Richter scale is utilized to measure the intensity of an earthquake. There are several different ways of computing this depend on a variety of

Expressions, what is the expression. Of 1=1/2n(3n-1)

what is the expression. Of 1=1/2n(3n-1)

(-4, What would an equation of this line passing through each pair of poin...

What would an equation of this line passing through each pair of points given?

Lenare eqation, A police academy is training 14 new recruits. Some are work...

A police academy is training 14 new recruits. Some are working dogs and others are police officers. There are 38 legs in all. How many of each type of recruits are there?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd