Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( y = 14 \) or \( y = -14 \)
Solution
1. Start with the equation:
\[
y^2 = 196
\]
2. Take the square root of both sides:
\[
y = \pm \sqrt{196}
\]
3. Compute the square root:
\[
\sqrt{196} = 14
\]
4. Therefore, the solutions are:
\[
y = 14 \quad \text{or} \quad y = -14
\]
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Simplify this solution The Deep Dive
This equation is a simple quadratic one. To solve for \( y \), you just need to take the square root of both sides. Thus, \( y = \pm \sqrt{196} \). Since \( \sqrt{196} = 14 \), the solutions are \( y = 14 \) and \( y = -14 \). So, voila! Your two answers are neatly laid out! In the world of math, equations like this one pop up in various contexts, such as physics for calculating distances, or even in finance when determining profit margins! Understanding how to manipulate quadratics can bolster your skills in tackling real-world problems, making math feel a bit less like a puzzle and more like a toolbox.
