Pregunta
Use the square root property to solve the equation. \( k^{2}=15 \)
Ask by Chandler Nguyen. in the United States
Mar 01,2025
Solución de inteligencia artificial de Upstudy
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The solutions are \( k = \sqrt{15} \) or \( k = -\sqrt{15} \).
Solución
To solve the equation k² = 15 using the square root property, follow these steps:
1. Recognize that the equation is in the form k² = c, where c = 15.
2. Apply the square root property, which tells us that if k² = c, then k = ±√c.
3. Substitute c = 15 into the equation to get:
k = ±√15
Thus, the solutions are:
k = √15 or k = –√15
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Simplifique esta solución Bonus Knowledge
To solve the equation \( k^{2}=15 \) using the square root property, we first take the square root of both sides. This gives us \( k = \pm \sqrt{15} \). Since we want to represent both possible values of \( k \), our final solutions are \( k = \sqrt{15} \) and \( k = -\sqrt{15} \). Now, if you’re curious about \( \sqrt{15} \), it’s approximately 3.87! So your solutions are around \( 3.87 \) and \( -3.87 \). Imagine if \( k \) were a treasure chest and the square roots showed you the two hidden treasures waiting for you at both ends of the number line! What a fun way to explore numbers!
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