Pregunta
Identify the values of \( a, b \), and \( c \) \[ x^{2}=3(x-6) \] part 1 of 3 \[ a=\square \] part 2 of 3
Ask by Blake Jimenez. in the United States
Feb 25,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
a = 1
Solución
We start with the given equation:
x² = 3(x – 6).
Step 1: Rewrite the equation in standard quadratic form (ax² + bx + c = 0).
Subtract 3(x – 6) from both sides:
x² − 3(x – 6) = 0.
Expand the expression:
x² − 3x + 18 = 0.
Now, comparing this with the standard form
ax² + bx + c = 0,
we see that:
a = 1,
b = –3,
c = 18.
Part 1 Answer:
a = 1.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
To solve the equation \( x^{2}=3(x-6) \), we start by expanding the right side. We get: \[ x^{2} = 3x - 18. \] Next, we'll move all terms to one side to form a standard quadratic equation: \[ x^{2} - 3x + 18 = 0. \] Now we can identify the coefficients \( a \), \( b \), and \( c \) from the equation \( ax^{2} + bx + c = 0 \). Here, we have: - \( a = 1 \) - \( b = -3 \) - \( c = 18 \)
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