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insert the answer in the equation, replacing the variable, and see if it still makes sense.

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Q: How to check the solution to an integer equation?
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What do you call the solution of a equation derived from an original equation that is not a solution of the original equation?

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.


What equation is a integer?

An integer is not an equation, but rather a counting number.


When 11 times a certain integer is subtracted from twice the square of the integer the result is 21find the integer?

-10


How do you guess and check to find the solution set of the equation x-54?

You cannot. x - 54 is an expression not an equation. An expression has no solution set since there is nothing to solve.


Is anything named after Pierre de Fermat?

Yes, the famous Fermat's Last Theorem, a conjecture by Fermat, that an equation of the form an + bn = cn has no integer solution, for n > 2. This was conjectured by Fermat in 1637, but it was only proved in 1995.Yes, the famous Fermat's Last Theorem, a conjecture by Fermat, that an equation of the form an + bn = cn has no integer solution, for n > 2. This was conjectured by Fermat in 1637, but it was only proved in 1995.Yes, the famous Fermat's Last Theorem, a conjecture by Fermat, that an equation of the form an + bn = cn has no integer solution, for n > 2. This was conjectured by Fermat in 1637, but it was only proved in 1995.Yes, the famous Fermat's Last Theorem, a conjecture by Fermat, that an equation of the form an + bn = cn has no integer solution, for n > 2. This was conjectured by Fermat in 1637, but it was only proved in 1995.