Question
Identify the \( \mathrm{a}, \mathrm{b} \) and c values for this equation: \[ \begin{array}{l}3 x^{2}-8 x=-15\end{array} \] Remember to express it in standard form!!!
Ask by Vaughan Peters. in Mexico
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
a = 3, b = -8, c = 15
Solution
1. Escribimos la ecuación original:
\[
3x^2 - 8x = -15
\]
2. Llevamos todos los términos a un lado para obtener la forma estándar \( ax^2 + bx + c = 0 \):
\[
3x^2 - 8x + 15 = 0
\]
3. Identificamos los coeficientes:
- \( a = 3 \)
- \( b = -8 \)
- \( c = 15 \)
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Simplify this solution Extra Insights
To express the equation \( 3x^{2} - 8x = -15 \) in standard form, we need to rearrange it to the form \( ax^{2} + bx + c = 0 \). By adding 15 to both sides, we get: \[ 3x^{2} - 8x + 15 = 0 \] Now, in standard form, the coefficients are: - \( a = 3 \) - \( b = -8 \) - \( c = 15 \) So, the values are \( a = 3 \), \( b = -8 \), and \( c = 15 \).
