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.
Solution
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}
