What is a real solution?

Answer 1

Ah, honey, a real solution is a value of x that makes the equation true when you plug it in. It's like finding the perfect pair of shoes that actually fit your feet - it just works. So, keep on solving those equations and you'll find that real solution in no time, darling.

Answer 2

There are two types of numbers. The real number system that we use everyday for counting and money and such.

There is also the imaginary or complex number system that is used to help evaluate the square roots of negative numbers.

A 'real solution' generally means that the solution is one from the real number system.

When solving an equation (especially at lower grade levels) the answer might be that there are no real solutions. However there might be complex solutions to the problem.