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.
to see ifyou made any mistakes
insert the answer in the equation, replacing the variable, and see if it still makes sense.
You cannot. x - 54 is an expression not an equation. An expression has no solution set since there is nothing to solve.
check the solution.
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.
It is important to check your answers to make sure that it doesn't give a zero denominator in the original equation. When we multiply both sides of an equation by the LCM the result might have solutions that are not solutions of the original equation. We have to check possible solutions in the original equation to make sure that the denominator does not equal zero. There is also the possibility that calculation errors were made in solving.
usually used when solving an equation or inequality. Checking one's answer is plugging the answer back in the beginning to make sure you got the correct solution.
When you are solving an equation usually you are solving for x. If you want to check your answer just plug the values you got back in to the original function. Or you can use a different method to solve the equation and see if you get the same answer.
plug your solution back into the original equation and work it out again
how can the reflexive property be applied to check the accuracy of a solution to equation?
By substitution.
Details may vary depending on the equation. Quite often, you have to square both sides of the equation, to get rid of the radical sign. It may be necessary to rearrange the equation before doing this, after doing this, or both. Squaring both sides of the equation may introduce "extraneous" roots (solutions), that is, solutions that are not part of the original equation, so you have to check each solution of the second equation, to see whether it is also a solution of the first equation.
Solution. A solution of an equation is a number that satisfy the equation. This means that if you replace this number on the equation and check it, the equation will be true. When you solve an equation you can find some roots, but not all of them satisfy the equation. Thus always check your answers after resolving your equation, and eliminate as solution the answers that don't make the equation true or undefined.
If you found the value of x that is a solution to an equation, you want to substitute that value back into the original equation, to check that it indeed satisfies the equation. If it does not satisfy the equation, then you made an error in your calculations, and you need to rework the problem.
Substitute that value in the equation, and then check to see if the resulting statement is TRUE.
to see ifyou made any mistakes