Question

fill in the blanks so that the resulting statement is true.

in order to solve \\(2x^2 + 5x - 3 = 0\\) by the quadratic formula, use \\(a = \\) ___, \\(b = \\) _, and \\(c = \\) ___.

in order to solve \\(2x^2 + 5x - 3 = 0\\) by the quadratic formula, use \\(a = \\) , \\(b = \\) , and \\(c = \\) .

Explanation:

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<reasoning>

Identify standard form coefficients

Using the Quadratic Equations and Quadratic Formula knowledge points
\[

$$\begin{aligned} &ax^2 + bx + c = 0\\ &2x^2 + 5x - 3 = 0\\ &a = 2,\quad b = 5,\quad c = -3 \end{aligned}$$

\]
</reasoning>

<answer>
In order to solve \(2x^2 + 5x - 3 = 0\) by the quadratic formula, use a = <blank>2</blank>, b = <blank>5</blank>, and c = <blank>-3</blank>.
</answer>

<post_analysis>
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"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Quadratic Formula"
]
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</post_analysis>

Answer:

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<reasoning>

Identify standard form coefficients

Using the Quadratic Equations and Quadratic Formula knowledge points
\[

$$\begin{aligned} &ax^2 + bx + c = 0\\ &2x^2 + 5x - 3 = 0\\ &a = 2,\quad b = 5,\quad c = -3 \end{aligned}$$

\]
</reasoning>

<answer>
In order to solve \(2x^2 + 5x - 3 = 0\) by the quadratic formula, use a = <blank>2</blank>, b = <blank>5</blank>, and c = <blank>-3</blank>.
</answer>

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"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Quadratic Formula"
]
}
</post_analysis>