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

Word problems, A mountain has an elevation of 19,389 feet in 1918, the glac...

A mountain has an elevation of 19,389 feet in 1918, the glacier on this peak covered 4 acres. By 2003 this glacier had melted to 1 acre. What was the yearlyrate of change and what

., Can you help me solve the following: 2/3x+1/4= 88/6x-5/3

Can you help me solve the following: 2/3x+1/4= 88/6x-5/3

FACTORING WITH TRAIL AND ERROR, you can use the equation -b +or- Square ro...

you can use the equation -b +or- Square root of bsquared - 4(a)(c)over 2a. But if you number for b is b is negative it will become positive??? And if the number was + it will Beco

Quantitative methods, how quantitative analysis has changed the current sc...

how quantitative analysis has changed the current scenario in the management world today

Problem., -200t^2+3600t-6400 if the goal was to raise 8500 what would be th...

-200t^2+3600t-6400 if the goal was to raise 8500 what would be the price of each ticket?

Homogeneous system of equations, The reduced row echelon form of  is equa...

The reduced row echelon form of  is equal to R =   (a)  What can you say about row 3 of A? Give an example of a possible third row for A. (b)  Determine the values of

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