Question

fill in the blanks.

in order to solve \\(x^2 = 4x + 8\\) by using the quadratic formula, use \\(a = \underline{\quad}\\), \\(b = \underline{\quad}\\), and \\(c = \underline{\quad}\\).

in order to solve \\(x^2 = 4x + 8\\) by using the quadratic formula, use \\(a = \square\\), \\(b = \square\\), and \\(c = \square\\).

Explanation:

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<reasoning>

Rearrange the equation to standard form

Using the Quadratic Equations knowledge point
\[

$$\begin{aligned} x^2 &= 4x + 8 \\ x^2 - 4x - 8 &= 0 \end{aligned}$$

\]

Identify the coefficients

Using the Quadratic Formula knowledge point
\[

$$\begin{aligned} ax^2 + bx + c &= 0 \\ a &= 1 \\ b &= -4 \\ c &= -8 \end{aligned}$$

\]
</reasoning>

<answer>
In order to solve \(x^2 = 4x + 8\) by using the quadratic formula, use a = <blank>1</blank>, b = <blank>-4</blank>, and c = <blank>-8</blank>.
</answer>

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"question_type": "Fill-in-the-blank",
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"Mathematics",
"Algebra",
"Quadratic Equations"
]
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Answer:

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<reasoning>

Rearrange the equation to standard form

Using the Quadratic Equations knowledge point
\[

$$\begin{aligned} x^2 &= 4x + 8 \\ x^2 - 4x - 8 &= 0 \end{aligned}$$

\]

Identify the coefficients

Using the Quadratic Formula knowledge point
\[

$$\begin{aligned} ax^2 + bx + c &= 0 \\ a &= 1 \\ b &= -4 \\ c &= -8 \end{aligned}$$

\]
</reasoning>

<answer>
In order to solve \(x^2 = 4x + 8\) by using the quadratic formula, use a = <blank>1</blank>, b = <blank>-4</blank>, and c = <blank>-8</blank>.
</answer>

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