Problem

Question 4
3 pts
Fill in the blanks with the missing steps in solving the equation with the quadratic formula.
\[
3 x^{2}-2 x-6=0
\]
\[
a=3, b=-2, c=
\]
1. Identify \( a, b, \& c \)
\[
x=(
\]
\[
\pm \sqrt{(}
\]
\( 2-4( \) \( \int \)
)\( ) / 2( \)
2. Substitute values into quadratic formula
\[
x=(
\]
\[
\pm \sqrt{ }
\]
)\( / \)
3.
Simplify the expression under the radical and in the denominator.

Answer

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Hide Steps

Answer

x = \frac{2 \pm \sqrt{4 + 72}}{6}

Steps

Step 1 ：a = 3, b = -2, c = -6

Step 2 ：x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4(3)(-6)}}{2(3)}

Step 3 ：x = \frac{2 \pm \sqrt{4 + 72}}{6}

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