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Here's an example of an inconsistent equation:
3x/(x-2) = (4x2 - 8x)/(x2 - 4x + 4)
On its face, it looks perfectly fine. It is not immediately obvious that you can't solve for x and get a meaningful result. But if you take the time to factor the numerator and denominator of the righthand part of the equation, you'll start to see the problem. If you continue and try to solve for x using normal algebraic techniques, you will get the impossible result: 3 = 4.
That result shows that your starting equation is internally inconsistent; that is, it is not consistent with itself.
Solution:
3x/(x-2) = (4x2 - 8x)/(x2 - 4x + 4)
3x/(x-2) = 4x(x - 2)/(x - 2)2
3x = 4x
!!
Don't you like x=0?
As a solution to your full-consistent equation?
Beside that, your definition of self-consistent equation is right. On the contrary the specific example is not.
It is worth noting that often "self-consistent equation" is a misuse for "self-consistency equation", namely an equation whose role is to guarantee the self consistency of a theory (model, whatever). If the equation is satisfied then the theory is self-consistent.
Literally a "self-consistent equation" is a meaningful one.
What else can I help you with?
When will the system of linear equation be consistent?
When its matrix is non-singular.
The difference between consistent and inconsistent in algebra?
Consistent means that the equation does not have the same slopes. Inconsistent means that it has the same slope.
Can linear system that has more unknowns than equation be consistent?
yes it can . the system may have infinitely many solutions.
Can unit analysis tell you whether you have used the correct equation in solving a problem?
Yes, unit analysis can help determine if the correct equation has been used in solving a problem. By checking that the units on both sides of the equation are consistent and align with the desired outcome, you can verify the appropriateness of the equation. If the units do not match or do not make sense, it indicates that either the equation is incorrect or the application of it is flawed. Thus, unit analysis serves as a useful tool for validating equations in problem-solving.
What number would you put in the matrix to represent a term that is missing in the original equation?
To represent a missing term in a matrix for an equation, you would typically use a placeholder, such as zero or a variable (e.g., ( x )). The choice depends on the context: zero indicates no contribution, while a variable suggests that the term's value is unknown but can be solved for. Ensure that the matrix remains consistent with the overall equation when substituting these values.
What is the consistent equation in mathematics?
Consistent equations are two or more equations that have the same solution.
Are Linear equation systems consistent or inconsistent?
It depends on the equations.
When will the system of linear equation be consistent?
When its matrix is non-singular.
The difference between consistent and inconsistent in algebra?
Consistent means that the equation does not have the same slopes. Inconsistent means that it has the same slope.
Which of these mechanisms is consistent with the rate law?
The mechanism that is consistent with the rate law is the one that matches the experimentally determined rate equation.
What is an autonamous religion?
self-consistent belief and practice
How can we ensure that our calculations are dimensionally consistent?
To ensure that calculations are dimensionally consistent, always check that the units of measurement for all variables and constants in the equation match. This means that the units on both sides of the equation should be the same, ensuring that the calculation is accurate and reliable.
What is the simplest form of the chemical equation for the self ionization of water?
The simplest form of the chemical equation for the self-ionization of water is: 2H₂O ⇌ H₃O⁺ + OH⁻.
Equation for self raising flour?
flour + oven = rise
What makes an equation either inconsistent consistent dependent or independent?
That doesn't apply to "an" equation, but to a set of equations (2 or more). Two equations are:* Inconsistent, if they have no common solution (a set of values, for the variables, that satisfies ALL the equations in the set). * Consistent, if they do. * Dependent, if one equation can be derived from the others. In this case, this equation doesn't provide any extra information. As a simple example, one equation is the same as another equation, multiplying both sides by a constant. * Independent, if this is not the case.
What type of system of linear equation is y equals -3x-1 and 3x plus -1?
A consistent system.
What is a way to logically consistent approach to politics based on the moral principle of self-ownership?
Libertarian
