Question
The solution set is \}.
Studdy Solution
STEP 1
1. The equation is a quadratic equation in terms of the expression .
2. Solving the equation will involve isolating the squared term and then taking the square root.
STEP 2
1. Isolate the squared term.
2. Solve for the expression inside the square.
3. Solve for .
4. Provide the solution set.
STEP 3
Add 3 to both sides of the equation to isolate the squared term:
STEP 4
Take the square root of both sides to solve for the expression inside the square. Remember to consider both the positive and negative roots:
STEP 5
Solve for by isolating it in each case:
For the positive root:
Subtract 8 from both sides:
Divide by 5:
For the negative root:
Subtract 8 from both sides:
Divide by 5:
STEP 6
Combine the solutions into a solution set:
The solution set is:
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