Question
Solve by completing the square.
Write your answers as integers, proper or improper fractions in simplest form, or decir
rounded to the nearest hundredth.
rounded to the nearest hundredth.
Ask by Reyes Barker. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The solutions are
and
.
Solution

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The Deep Dive
To solve the equation
by completing the square, we first rearrange the equation:
Next, we focus on the quadratic part,
. To complete the square, we take half of the coefficient of
(which is 6), square it, and add it to both sides:
- Half of 6 is 3, and
. - Add 9 to both sides:
This simplifies to:
Now, to solve for
, we take the square root of both sides:
Subtract 3 from both sides:
Thus, the solutions are:
Approximating
, which is about 7.62, we get:
So round your final answer as needed: