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

Goemetry, hello please help me on the result of 6 6sen{a}+3=4sen{a}+4

hello please help me on the result of 6 6sen{a}+3=4sen{a}+4

Solution of basic linear equation, Solve following equations. (a)   x 2 ...

Solve following equations. (a)   x 2 -100 = 0  (b) 25 y 2 - 3 = 0 Solution There actually isn't all that much to these problems.  To use the square root property a

Equations, Translate into an equation: A number increased by 19 equals 77 ...

Translate into an equation: A number increased by 19 equals 77 (let the number be represented by k)

Homework, A toy manufacturer develops a formula to determine the demand for...

A toy manufacturer develops a formula to determine the demand for its product depending on the price in dollars. The formula is , where P is the price per unit and D is the number

Operational rasearch, 1) Maximize z = 4x1 + 10x2 Subject to 2x1 + x¬2 2x...

1) Maximize z = 4x1 + 10x2 Subject to 2x1 + x¬2 2x1 + 5x¬2 2x1 + 3x¬2 x1 , x¬2 >=0

Graphing, when I have the equation of 6x-9y=18 and I have to graph the answ...

when I have the equation of 6x-9y=18 and I have to graph the answers I am not sure how to come up with the answers, please help

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