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Mathematically you check your solution to make sure you have the correct answer. In some cases the slightest miscalculation could cause a disaster or you could end up with low marks in school
Scientifically it could cause an even larger disaster if you add the wrong amounts of elements together.
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Why is it important to check your solution in an applied problem using the original words of the problem?
Because you may have read the question wrong
Why do you have to check the solutions when you have to solve radical equations?
Checking your solution in the original equation is always a good idea,simply to determine whether or not you made a mistake.If your solution doesn't make the original equation true, then it's wrong.
What are some ways to check your solution?
That depends a lot on what exactly you want to check. For example:* You can check a division, by doing the corresponding multiplication. * You can check the solutions to an equation, by replacing the variable with the purported solution and doing the calculations.
What are the differences between numerical solution method and analytical solution?
Analytical solution is exact, while a numeric solution is almost always approximate
What is the actual answer to the problem?
It depends on the problem but the solution is always the answer.
