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

Set operations, How to find the valve of A''u B''

How to find the valve of A''u B''

Linear programing, Trees in urban areas help keep air fresh by absorbing ca...

Trees in urban areas help keep air fresh by absorbing carbon dioxide. A city has $2100 to spend on planting spruce and maple trees. The land available for planting is 45,000 ft2. H

Solve problem , please solve this eqution step by step for me hving trouble...

please solve this eqution step by step for me hving trouble -58x-26=8x-230.6

Elem mat., A store sells cashews for $3.00 per pound and pecans for $8.00 p...

A store sells cashews for $3.00 per pound and pecans for $8.00 per pound. How many pounds of cashews and how many pounds of pecans should you mix to make a 50-lb mixture costing $4

CBA, I am preparing for a CBA what do I need to study?

I am preparing for a CBA what do I need to study?

New math, What is the effectiveness of new math?

What is the effectiveness of new math?

Estimating square roots, Estimate the values to the nearest hundredth and s...

Estimate the values to the nearest hundredth and show your work 40

Find out the compound interest, Example: We are investing $100,000 in an ac...

Example: We are investing $100,000 in an account that earns interest at a rate of 7.5% for 54 months.  Find out how much money will be in the account if, (a) Interest is comp

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