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

Variation of parameters, In this case we will require deriving a new formul...

In this case we will require deriving a new formula for variation of parameters for systems.  The derivation now will be much simpler than the when we first noticed variation of pa

Euler method for ode, y'' + 2y = 2 - e-4t, y(0) = 1 use euler''s method wit...

y'' + 2y = 2 - e-4t, y(0) = 1 use euler''s method with a step size of 0.2 to find and approximate values of y

Electronic whiteboards, Topic : Use of Electronic whiteboards (ICT) in prim...

Topic : Use of Electronic whiteboards (ICT) in primary education in Australia and international. What are the key theories, concepts and ideas related to your topic? Wha

Example of one-to-one correspondence, An educator placed 10 pebbles in a ro...

An educator placed 10 pebbles in a row and asked four-year-old Jaswant to count how many there were. She asked him to touch the pebbles .while counting them. Jaswant counted the pe

What is the annual interest rate on an account in which earn, What is the a...

What is the annual interest rate on an account in which earns $948 in simple interest over 36 months along with an initial deposit of $7,900? Using the easy interest formula In

Find the laplace transforms of functions, Find the Laplace transforms of th...

Find the Laplace transforms of the specified functions. (a)   f(t) = 6e 5t + e t3 - 9 (b)   g(t) = 4cos(4t) - 9sin(4t) + 2cos(10t) (c)    h(t) = 3sinh(2t) + 3sin(2t)

Tutor, How to be an expert at expertsmind

How to be an expert at expertsmind

Calculate the number-average and weight-average molar mass, Three mixtures ...

Three mixtures were prepared with very narrow molar mass distribution polyisoprenesamples with molar masses of 8000, 25,000, and 100,000 as indicated below. (a) Equal numbers 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