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There is no simple method. The answer depends partly on the variable's domain. For example, 2x = 3 has no solution is x must be an integer, or y^2 = -9 has no solution if y must be a real number but if it can be a complex number, it has 2 solutions.

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7y ago
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7y ago

You can actually solve the equation. With some experience with equations, you will eventually know that equations of a certain form will have exactly one solution (for example, a linear equation); while a polynomial equation of degree 2 typically has 2 solutions, and certain types of trigonometric equations have infinitely many solutions (this is due to the periodicity of the trigonometric functions) - but there is really no simple or universal way to tell in advance how many solutions a given equation has.

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Q: How can you tell when an equation in one variable has infinitely many solutions or no solutions?
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Related questions

How many solutions does linear equation in two variable have?

A single linear equation in two variables has infinitely many solutions. Two linear equations in two variables will usually have a single solution - but it is also possible that they have no solution, or infinitely many solutions.


Explain how to identify whether an equation has no solution or infinitely many solutions?

An equation can be determine to have no solution or infinitely many solutions by using the square rule.


How many solutions are there to the equation below?

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An equation has one solution?

A linear equation in one variable has one solution. An equation of another kind may have none, one, or more - including infinitely many - solutions.


When you solve equation describe how you know when there will be a infinite solutions?

If the solution contains one variable which has not been fixed then there are infinitely many solution.


How do you know when a equation has an infinte number of solutions?

-- A single equation with more than one variable in it has infinitely many solutions. -- An equation where the variable drops out has infinitely many solutions. Like for example x2 + 4x -3 = 0.5 (2x2 + 8x - 6) As mean and ugly as that thing appears at first, you only have to massage it around for a few seconds to get -3 = -3 and that's true no matter what 'x' is. So any value for 'x' is a solution to the equation, which means there are an infinite number of them.


What does it mean if an equation equals 0 does it have one solution no solution or indefinitely many solutions?

It has infinitely many solutions.


How many solution does a linear inequality in one variable have?

Inequalities tend to have infinitely many solutions.


Sec2x equals 3?

Is a trigonometric equation which has infinitely many real solutions.


How many solutions does a 2 variable equation have?

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What is the solution of 4y minus x equals 10?

The equation has infinitely many solutions.


What are solutions of trigonometric equations?

That means the same as solutions of other types of equations: a number that, when you replace the variable by that number, will make the equation true.Note that many trigonometric equations have infinitely many solutions. This is a result of the trigonometric functions being periodic.