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

Help, i need help on my homework could u help me ?

i need help on my homework could u help me ?

Areas, does total surface area mean total exposed area

does total surface area mean total exposed area

I need help, can any one help me with my geometry

can any one help me with my geometry

Trichotomy, use the given matrix to preform the operation R1+2R2 and select...

use the given matrix to preform the operation R1+2R2 and select the correct option. 3, -2, 1 1, -3, 4 1, -2, 0 a. 3, -2, 1 5, -8, 9 1, -2, 0 b. 3, -2, 1 2, -6, 8 13,

Math equation, if a=3 b= 1/2 c=5 f(x)= ab over c g(x) (a=b)c f (g(x))

if a=3 b= 1/2 c=5 f(x)= ab over c g(x) (a=b)c f (g(x))

Agnes, #question.three individuals form a partnership and agree to divid th...

#question.three individuals form a partnership and agree to divid the profits equally x invests $9000, y invest $7000 and z invest $4000. How much less does x receive than if the p

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