Solving problem using polynomial inequalities, Algebra

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, , ∞ )

Posted Date: 4/6/2013 5:29:45 AM | Location : United States







Related Discussions:- Solving problem using polynomial inequalities, Assignment Help, Ask Question on Solving problem using polynomial inequalities, Get Answer, Expert's Help, Solving problem using polynomial inequalities Discussions

Write discussion on Solving problem using polynomial inequalities
Your posts are moderated
Related Questions
Harold’s movie theater increased the price of admission 20%. Tickets had sold for $7.00. What is the current ticket price? Percent of Decrease: 3. Original Price: $45

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

HOW TO PROGRAM QUADRATIC EQUATIONS, INEQUALITIES AND FUNCTIONS INTO A TI 84 PLUS C SILVER EDITION

A car travels at a rate of 50 miles per hour.Use equivalent ratios to graph the distance the car travels over time.Graph time on the x-axis and distance on the y-axis

using T for term- p T-1,2,3,4,5,6 = 8,16,24,32,40. Formula is T x _ +_=8, T x_+_=16 etc same 2 numbers must be used. how do i figure this out? an brackets be used or minus?


Let a = 2 cm, b = 6 cm, and angle A = 60°.  How many solutions are there for angle B   We must calculate b sin A .  If it is less than a , there will be

twice the number n plus the product of eight and z. I need to know the algebraic expression, term, factors, coefficient, and constants