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That's an extraneous solution. You need to check for these when algebraically solving equations, especially when you take both sides of an equation to a power.

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Q: What do you call the solution of a equation derived from an original equation that is not a solution of the original equation?
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Related questions

When an equation has no solution set is called?

You simply call it "no solution".


What do you call a linear equation that has no solution?

You just write, "No Solution."


What do you get when you solve an equation?

You could call it "the answer" or "the solution".


What is A number that makes a equation true?

The solution set is the answers that make an equation true. So I would call it the solution.


What do you call the numerical value that gives a true statement when it is substituted for the variable in the equation?

You call that a "solution" of the equation.


What do you call the three systems of linear equation?

Single answer. Coincidental (same equation), No solution.


What do you call solutions to equations?

The Solution of an equation is the value of the variable that makes the equation truean answer


What do you call a set with no solution?

A set would not normally have a solution. An equation or an inequality might.


What do you call a number that stands alone in an equation?

In an equation, a number that stands alone is called a constant. It is a fixed value that does not change during the equation or its solution.


What do you call the set of solutions that satisfy a given equation?

That's called the "solution set".


What do you call the number that replaces a variable to make an equation?

The number that replaces a variable is the solution to the equation. great question, but it's only the answer.??


What is a linear equation that is not true for even one real number and therefor has no solution?

A linear equation in one variable. Case 1: A conditional equation: True only for a value of the variable. Ex. x + 2 = 3, True only when x is 1. Case 2: Identity Equation: Always true. Ex. x + 2 = x + 2, True for any value of x. Case 3: x + 1 = x + 5, False for any value of x. We call a solution any value of the variable that satisfies the equation, meaning if we replace the variable with that value, the equation becomes a true statement. Example: -2(x -3) = 8 - 2x -2x + 6 = 8 - 2x (add 2x and subtract 6 to both sides) 0 = 2 False. Since this equation, which is equivalent to the original equation, is false, then the original equation is also false. Meaning, there is no real number for x that could satisfy the equation. So there is no solution to the equation.