Question
Solve.
If there is more than one solution, separate them with commas.
Ask by Carlson May. in the United States
Mar 29,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
Solve the equation
.
Solve the equation by following steps:
Solve the equation by following steps:
- step0: Solve for
:
- step1: Move the expression to the left side:
- step2: Remove the parentheses:
- step3: Factor the expression:
- step4: Separate into possible cases:
- step5: Solve the equation:
- step6: Rewrite:
The solutions to the equation are .
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
To solve the equation
, we first rearrange it:
Next, we perform a substitution to make it simpler. Let
. The equation now becomes:
We can factor this quadratic equation:
This gives us the solutions:
Recalling that
, we have:
-
which gives or . -
which gives or .
Thus, the full set of solutions is:
So, the final result is: