What is an extraneous solution? a solution that was found due to an arithmetic error a solution that satisfies the original equa
tion an apparent solution that is not a real number an apparent solution that does not satisfy the original equation
2 answers:
Answer:
an apparent solution that does not satisfy the original equation
Step-by-step explanation:
Usually, an extraneous solution is introduced by the solution process. Sometimes it takes the form of multiplying an equation by 0, often the result of eliminating the denominators of rational functions.
Other times, it takes the form of adding branches to a function that are unintended or undefined. (Squaring a square root will often introduce "solutions" that require the square root to be a negative value.) The attached graph shows that x=4 is an extraneous solution to ...
√x = x-6
It shows up when the equation is squared:
x = x² -12x +36 ⇒ (x -9)(x -4) = 0
The "solution" x=4 is extraneous because it does not satisfy the original equation.
As in this graphed example, using graphical methods to find solutions can often avoid extraneous solutions.
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Answer: 4/15 of the movie
Step-by-step explanation:
In the morning, Charlie watched ¹/₃ of a movie. He then watched some more at night.
At the end of the day, he still had ²/₅ of the movie to watch.
The proportions of an item must always add up to one. This means that if you added the 1/3 to the 2/5 and then to the fraction Charlie watch at night, they should add up to one.
¹/₃ + ²/₅ + x = 1
x = 1 - ¹/₃ - ²/₅