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

Solve equation using absolute value inequalities, Solve following.      ...

Solve following.                 |3x + 2| Solution Now we know that p ≥ 0 and thus can't ever be less than zero. Hence, in this case there is no solution as it is impos

Help, Tank A contains four times as much as Tank B. Tank C contains 32 L mo...

Tank A contains four times as much as Tank B. Tank C contains 32 L more than Tank A. The three Tanks contain 482 L of water in all. How many liters of water does Tank A contain?

Help me , The city of Eden would like to put in a new street that runs para...

The city of Eden would like to put in a new street that runs parallel to Harrington Highway because of traffic issues. The equation of Harrington Highway is y = -2x + 7. What wil

Methods of elimination - linear systems, Methods of elimination Example...

Methods of elimination Example 1 Solve out the given system of equations. x - 2 y + 3z = 7 2 x + y + z = 4 -3x + 2 y - 2 z = -10 Solution We will try and find

Graphing with a square root, graph leftmost point and 3 additional points f...

graph leftmost point and 3 additional points f(x)=vx+3

Alegebra 2 word problems, techniques for creating equations for algebra ...

techniques for creating equations for algebra 2 word problems

Direct variation, is force applied to the brakes on a car, and stopping dis...

is force applied to the brakes on a car, and stopping distance a direct variation?

Slope, what is point slope form

what is point slope form

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