Solve using the quadratic formula. 3z^2 + 3z − 6 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. z = _____ or z = _____

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Solve using the quadratic formula.  3z^2 + 3z − 6 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.  z = _____ or z = _____

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Identify values: Identify the values of a, b, and c in the quadratic equation 3z^2 + 3z − 6 = 0. By comparing 3z^2 + 3z − 6 = 0 with the standard form ax^2 + bx + c = 0, we find: a = 3 b = 3 c = -6Substitute into formula: Substitute the values of a, b, and c into the quadratic formula z = (-b ± sqrt(b^2 - 4ac)) / (2a). Substitute a = 3, b = 3, and c = -6 into the formula. z = (-(3) ± sqrt((3)^2 - 4*3*(-6))) / (2*3)Simplify and calculate discriminant: Simplify the expression under the square root and calculate the discriminant. sqrt((3)^2 - 4*3*(-6)) = sqrt(9 + 72) = sqrt(81)Continue simplifying formula: Continue simplifying the quadratic formula with the calculated discriminant. z = (-3 ± sqrt(81)) / 6 Since sqrt(81) = 9, we have: z = (-3 ± 9) / 6Calculate solutions: Calculate the two possible solutions for z. First solution: z = (-3 + 9) / 6 z = 6 / 6 z = 1 Second solution: z = (-3 - 9) / 6 z = -12 / 6 z = -2

Solve using the quadratic formula. $\newline$ $3z^2 + 3z - 6 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $z =$ _ or $z =$ _

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Solve using the quadratic formula.\newline3z2+3z−6=03z^2 + 3z - 6 = 03z2+3z−6=0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlinez=z = z=_____ or z=z = z=_____

Solve using the quadratic formula. $\newline$ $3z^2 + 3z - 6 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $z =$ _ or $z =$ _