Example:

This suggests two solutions,

and

.
However, upon plugging these solutions back into the equation, you get

which checks out, but

does not because

is defined only for

(assuming you're looking for real solutions only). So, we call

an extraneous solution, and the complete solution set (over the real numbers) is

.
Answer:
126 gallons per minute
Step-by-step explanation:
1 quarter = 25 cents.
1 dime = 10 cents.
3 quarters = 3*25 = 75 cents.
10 cents = 1 dime.
75 cents = 75 / 10 dimes
= 7.5 dimes.
Therefore 3 quarters equal 7.5 dimes.
Answer:
Step-by-step explanation:
I got you first you want to get some little ceasers
The first step for solving this expression is to reduce the fraction with 11.

Now reduce the fraction with

.

Reduce the fraction one more time with

.

To take the root of a fraction,, we must take the root of the numerator and denominator separately. This rule will change the expression to the following:

Since we cannot simplify this fraction any further,, the final answer is going to be

.
Let me know if you have any further questions.
:)