Integers satisfy the inequality, Mathematics

Assignment Help:

How many integers satisfy the inequality |10(x+1)/x^2+2x+3|=1?

Solution) first thing thats not an inequality,
and second thing its very easy if thats the question.
the LHS = |10/x^2 + 10/x + 2x + 3| = 1
10/x^2 will also be an integer only if x^2<10.....i.e. x<3.
hence x= 0,+1,-1,+2,-2,+3,-3.
but the only value that holds the equality is -1.
hence the no. of INTEGERS is only 1.


Related Discussions:- Integers satisfy the inequality

Integers, Whats some negative integers that equal 36

Whats some negative integers that equal 36

Inverse sine, Inverse Sine : Let's begin with inverse sine.  Following is ...

Inverse Sine : Let's begin with inverse sine.  Following is the definition of the inverse sine. y = sin -1 x         ⇔     sin y = x                for - ?/2 ≤ y ≤ ?/2 Hen

Direction cosines - vector, Direction Cosines This application of the ...

Direction Cosines This application of the dot product needs that we be in three dimensional (3D) space not like all the other applications we have looked at to this point.

Initial value problem, An IVP or Initial Value Problem is a differential eq...

An IVP or Initial Value Problem is a differential equation with an appropriate number of initial conditions. Illustration 3 : The subsequent is an IVP. 4x 2 y'' + 12y' +

Solving equations and/or word problems for the unknowns, With their fence i...

With their fence in place, Zack and Clint set to work landscaping yards. Since Clint did the majority of the actual landscaping and planting, he worked on the average more hours t

General solution to a differential equation, The general solution to a diff...

The general solution to a differential equation is the most common form which the solution can take and does not take any initial conditions in account. Illustration 5: y(t) =

Describe visualize solutions of simultaneous equations, Describe Visualize ...

Describe Visualize Solutions of Simultaneous Equations ? By drawing the graph of each equation in a system of equations, you can see a picture of the system's solutions. Fo

Example of addition of fractions, Example of addition of Fractions: 10...

Example of addition of Fractions: 105/64 + 15/32 + 1/6 =____ would require the denominator to be equal to 64 x 32 x 6 = 12,288. This type of number is very hard to use.

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