What causes a solution to a rational equation to be an extraneous solution?

Extraneous solution:

An extraneous solution is a solution that arises from the solving process that is not really a solution at all

So, firstly we will solve for the equation

and then we verify each solutions by plugging them back

If denominator of rational equation becomes zero , then that solution must be extraneuous solution

For example:

we can solve for x

Multiply both sides by x(x+3)

now, we can simplify it

now, we can solve for x

now, we can check whether x=-3 is extraneous solution

we will plug back x=-3 into original

we can see that denominator becomes 0

so, x=-3 can not be solution

so, x=-3 is extraneous solution...........Answer

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step-by-step explanation: