Question
Signment
HW Score: 23.03%, 11.29 of 49 points
Solve the following equation.
HW Score: 23.03%, 11.29 of 49 points |
Solve the following equation. |
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Ask by Carter Greene. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The solutions are
and
.
Solution
-
Start with the equation:
-
Take the square root of both sides, remembering to include the positive and negative roots:
-
Solve for
by subtracting from both sides:
Thus, the solutions are:
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Extra Insights
To solve the equation
, we first take the square root of both sides, giving us two equations:
and
. Next, we isolate
:
- From the first equation:
- From the second equation:
Thus, the solutions are
.
When explaining radical solutions, it’s important to remember that we can express those values in decimal form if needed, but presenting them as exact answers maintains their precision!
When solving quadratic equations, keeping track of positive and negative roots is crucial. A common mistake occurs when squaring both sides since it can introduce extraneous solutions. Always check your solutions by substituting them back into the original equation to verify they hold true. Happy solving!