Pregunta
Question Use the square roots property to solve the quadratic equation \( u^{2}-270=-266 \). If there are multiple answers, list them separated by a comma, e.g. 1,2 . If there is no real solution, enter \( \varnothing \).
Ask by Salazar Floyd. in the United States
Feb 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The solutions are: 2, -2.
Solución
We start with the equation:
u² - 270 = -266
Step 1: Add 270 to both sides:
u² = -266 + 270
u² = 4
Step 2: Take the square root of both sides (don’t forget the ±):
u = √4 or u = -√4
u = 2 or u = -2
Thus, the solutions are: 2, -2.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Bonus Knowledge
First, we can rewrite the equation \( u^{2}-270=-266 \) as \( u^{2}=270-266 \), which simplifies to \( u^{2}=4 \). Now, applying the square roots property gives us \( u = \sqrt{4} \) or \( u = -\sqrt{4} \). Thus, the solutions are \( u = 2 \) and \( u = -2 \). The answers are: 2, -2.
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