Determine if the described set is a subspace. Assume a, b, and c are real numbers. The subset of R3 consisting of vectors of the
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Remember that <span>an extraneous solution of an equation, is the solution that emerges from solving the equation but is not a valid solution.
Lets solve our equation to find out what is the extraneous solution:
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and 
and 
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So, the solutions of our equation are </span> and . Lets replace each solution in our original equation to check if they are valid solutions:
- For
We can conclude that 7 is a valid solution of the equation.
- For
We can conclude that 4 is not a valid solution of the equation; therefore, 4 is a extraneous solution.
We can conclude that the correct answer is: <span>D. the extraneous solution is x = 4</span>
Lets solve our equation to find out what is the extraneous solution:
</span>
<span>
So, the solutions of our equation are </span>
- For
We can conclude that 7 is a valid solution of the equation.
- For
We can conclude that 4 is not a valid solution of the equation; therefore, 4 is a extraneous solution.
We can conclude that the correct answer is: <span>D. the extraneous solution is x = 4</span>