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

Scientific notation, The average U.S. citizen consumes about 2.5 × 102 L of...

The average U.S. citizen consumes about 2.5 × 102 L of water per day for various uses. In 2013, there were about 3.16 × 108 U.S. citizens. About how many kiloliters of water were c

Equations, steps to figuring out the answer 3(2p-1)-5p=4

steps to figuring out the answer 3(2p-1)-5p=4

Elevation, A v\certain mountain had an elevation of 19,063 ft. In 1911 the ...

A v\certain mountain had an elevation of 19,063 ft. In 1911 the glacier on this peek covered 8 acres. by 2000 this glacier had melted to only 1 acre. what is the yearly rate of ch

Set, Ask question #MA survey of 400 of recently qualified chartered Account...

Ask question #MA survey of 400 of recently qualified chartered Accountant revealed that 112 joined industry, 120 stated practice & 160 joined the firms of practicing chartered acco

Linear systems with three variables, Linear Systems with Three Variables ...

Linear Systems with Three Variables It is going to be a fairly short section in the sense that it's actually only going to contain a couple of examples to show how to take the

How can I simplify a fraction with varibales, Please!!! help me with my hom...

Please!!! help me with my homewrok I don''t know how to answer 1/x+2x/5.. please help me.....

Pythagoras theorem.., find the perimeter of an irregulary shapep blocks of ...

find the perimeter of an irregulary shapep blocks of land didvided into 4 Triangles ab=12m by 15m bc =15m by 60m cd =24m by25m da = 25m by 48m..

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