Find the solution of 3 times the square root of the quantity of x plus 6 equals negative 12 , and determine if it is an extraneous solution.
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OpenStudy (decarr432):
Welcome to openstudy!!!!!
OpenStudy (decarr432):
Are there any answer choices given?
OpenStudy (huntermort):
x = −3; extraneous
x = −3; not extraneous
x = 10; extraneous
x = 10; not extraneous
OpenStudy (decarr432):
Now is there a picture for your equation or is it in word form?
OpenStudy (decarr432):
does it look liek this
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OpenStudy (decarr432):
\[3\sqrt{x+6}=-12\]
OpenStudy (huntermort):
yes
OpenStudy (decarr432):
okay so plug your numbers in for x choose from
-3 and 10
OpenStudy (decarr432):
Do you understand?
OpenStudy (huntermort):
yes
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OpenStudy (decarr432):
The def. is
Extraneous and missing solutions. In mathematics, an extraneous solution (or spurious solution) is a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the original problem.