Do all rational equations have a single solution and why

Assignment Help Algebra
Reference no: EM131077232

Discussion reply minimum 50 words

1: Not all rational equations have a single solution. Some them have extraneous solutions which occur when the denominator is equal to zero. You cannot divide by zero, so these answers are discarded because they do not work with the original equation. Polynomials are one of the bigger reasons why rational equations can have multiple solutions. This is because of the powers that are raised and the solutions that are made available. In these cases, ‘x' has multiple solutions that still satisfy the original equation.

2: Do all rational equations have a single solution? Why?

3: No there is no single solution in rational equations but not all the solutions can fulfill the answer. The reason is rational equations have more than one solution is because the equation has polynomials. X can have many variables as Atena stated below which provides multiple solutions when completing a rational equation.

Reference no: EM131077232

Questions Cloud

Determining the variety of development indicators : Since the end of World War II, some countries have achieved great strides in a variety of development indicators, whilst others have stagnated, and still others have had mixed experiences.
Convert the max heap implementation to a min heap : Convert the max heap implementation to a min heap implementation.
Reputation in a model of monetary policy : Time inconsistencies (based on Barro-Gordon (1983), "Rules, Discretion, and Reputation in a Model of Monetary Policy", Journal of Monetary Economics, 12:101-121) Assume that the preferences of the benevolent policy maker can be represented through..
Incur external transaction costs : How does a firm decide when to produce internally or incur external transaction costs? Describe a situation for both, and be sure to include costs and advantages for each.
Do all rational equations have a single solution and why : Do all rational equations have a single solution? Why? No there is no single solution in rational equations but not all the solutions can fulfill the answer.
Calculate the amount paid for the stock : Meek mill bought £75,000 (nominal value) of 3¾% debenture stock with each £100 (nominal value) of stock costing £90. (a) Calculate the amount paid for the stock.
Fundamental lessons the ten principles of economics : Use Principles of Microeconomics, Chs. 1, 2, 3, 4, 5, and 6, as the source for all your information. Identify the fundamental lessons the Ten Principles of Economics teach about:
Convergence of health care financing : Prepare a fifteen to twenty (15 to 20) slide Microsoft® PowerPoint® presentation with detailed scholarly speaker notes in which you:
Find measures of central tendency for both listing prices : Calculate measures of central tendency for both listing prices and square footages. Those measures are mean, median, and mode. Determine the quartiles for both listing prices and square footages.

Reviews

Write a Review

Algebra Questions & Answers

  Briefly describe the pigeon hole principle

Prove that if G is a finite group, H subset of G that is closed with respect to the operation of G, Then every element of H has its inverse in H.

  Linear equations problem

Linear equations problem

  When would least squares be useful in the real world

In the real world, when you need to make predictions for one variable Y based on one or more variables X, and if Y and X have a linear relation, then the least squares method would be useful.

  Compute the laplacian in three-d cartesian coordinates

Take the function u(x. y,z) = -x3 - 3xy2+ z2. Compute the Laplacian in 3D Cartesian coordinates. Convert the formula for u into a formula for u involving cylindrical polar coordinates.

  A photographer enlarges a photo using a scale factor of 6

a photographer enlarges a photo using a scale factor of 6. the original photo has a width of 9 cm and a length of 15

  How long did you ride at the slower speed

You rode at an average speed of 17 mph for t hours and at an average rate of speed of 22 mph for the rest of the time. how long did you ride at the slower speed

  Linear equation on three variables

Linear equation on three variables

  Determine the equation of each line

Write the equation in slope intercept form y + 2 = - 6(x-1). Determine the equation of each line. Write the answer in slope intercept form. The line through (4,0) that is perpendicular to the line x + y = 3.

  What is the difference between domain and range

Find examples that support or refute your classmates' answers to the discussion question. Provide additional similarities and differences between functions and linear equations. Challenge your classmates by providing more intricate examples of non..

  Using compound interest formula

Using compound interest formula.

  Solve the algebraic expression from subtracting rule

Solve the algebraic expression from subtracting rule.

  Where tr(a) is the trace of a

For A, B ∈ Mn(F) and s ∈ F, show that: i) tr(A + B) = tr(A) + tr(B); ii) tr(sA) = s⋅tr(A); and iii) tr(AB) = tr(BA), where tr(A) is the trace of A.

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