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You need to be sure the variable denominator does not become zero, where the equation would not be defined.

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15y ago

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When does a equation have two solutions?

Two cases in which this can typically happen (there are others as well) are: 1. The equation includes a square. Example: x2 = 25; the solutions are 5 and -5. 2. The equation includes an absolute value. Example: |x| = 10; the solutions are 10 and -10.


When rewrite and equation how do you know that your new equation is equivalent to your original equation?

There is no easy way to check this. You need practice in solving equations; anyway, here are a few considerations. First of all, double-check whether you did everything correctly.If done correctly, some operations don't change the solution set of the original equation, i.e., they will give you an equivalent equation. This includes adding, subtracting, multiplying, and dividing both sides by the same number (but don't divide by zero!). Multiplying both sides by a variable (or an expression that includes a variable) may add an additional solution. For example: x = 5 has only one solution (5). If you multiply both sides by "x", you get: x^2 = 5x (x squared = 5x), which has the additional solution zero. Similarly, dividing both sides of an equation by the same may eliminate a solution (as compared to the original equation); squaring may add solutions, and taking the square root may eliminate solutions. Similarly, applying other functions, such as trigonometric functions and inverse trigonometric functions, may change the solution set - you need to be aware of the behavior of each specific type of function.


How to write an equation that includes the keyword "how to write an equation"?

To write an equation that includes the keyword "how to write an equation," you can use a variable like x to represent the phrase. For example, the equation could be x "how to write an equation."


What is the equation of a logarithmic equation?

A logarithmic equation would be any equation that includes the log function.


How is thermochemical equation different from a balanced chemical equation?

A thermochemical equation includes information about the energy changes associated with a chemical reaction, such as enthalpy changes. A balanced chemical equation shows the reactants and products involved in a chemical reaction in their correct proportions. While a balanced chemical equation gives the stoichiometry of the reaction, a thermochemical equation provides additional information about the heat flow during the reaction.


How is solving an equation that includes cubes similar to solving an equation that includes squares and how is it different?

Ask someone eles.


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Which best explains why the equation 4x 5 4x - 1 has no solutions?

I think this might read "4x+5 = 4x-1". Subtracting 4x from both sides cannot upset the equality, and then you have +5 = -1, which is nonsense. One moral of this is "make sure your equation makes sense, and actually includes an = sign."


What actors and actresses appeared in Sewing Solutions - 2013?

The cast of Sewing Solutions - 2013 includes: Alison McIndoe as Alison


What actors and actresses appeared in The Search for Solutions - 1979?

The cast of The Search for Solutions - 1979 includes: Stacy Keach as Narrator


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The cast of Out of the Equation - 2009 includes: Catherine Nolan as Etta


Is it true that an ionic equation that includes only the particles that participate in the reaction is called a complete ionic equation?

no, it is not