Pls HELP meeee. My child needs some real help I I wish I would’ve took those college lessons.
2 answers:
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Answer:
Solution set = {-12, 12}
Step-by-step explanation:
Start by dividing both sides of the given equation by negative one, to get rid of the negative signs on both sides:
Now we consider the two possible cases:
1) The expression inside the absolute value symbol is a positive number, then :
and replacing it in the equation, this becomes:
which is our first answer.
2) The expression inside the absolute value symbol is a negative number, then :
and replacing it in the equation, this becomes:
which is our second possible answer.
Then the set of solutions is: {-12, 12}
Let as described in the problem statement. Plugging in
and
gives us the equations
and
Since
are nonzero, we divide the second equation by the first to get
which means that
after taking the cube root. Plugging this value for
into the first equation, we now have
Solving gives
and our desired exponential equation is