Pregunta
Question Use the square roots property to solve the quadratic equation \( 4 a^{2}=36 \). 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 Bradley Campbell. in the United States
Feb 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The solutions are 3 and -3.
Solución
Start with the equation:
4a² = 36
Divide both sides by 4:
a² = 9
Now apply the square root property:
a = √9 and a = –√9
Since √9 = 3, the solutions are:
a = 3, a = –3
Therefore, the answer is 3, -3.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
To solve the equation \( 4a^2 = 36 \), first, divide both sides by 4 to simplify it: \( a^2 = 9 \). Next, apply the square roots property, which tells us that if \( a^2 = b \), then \( a = \pm\sqrt{b} \). Here, \( b = 9 \). Thus, \( a = \pm\sqrt{9} = \pm3 \). The solutions are \( 3, -3 \).
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