Solve using the quadratic formula. 7z^2 + 9z − 7 = 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.  7z^2 + 9z − 7 = 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 coefficients: Identify the coefficients a, b, and c in the quadratic equation 7z^2 + 9z − 7 = 0. a = 7, b = 9, c = -7Write quadratic formula: Write down the quadratic formula: z = (-b ± sqrt(b^2 - 4ac)) / (2a).Substitute values: Substitute the values of a, b, and c into the quadratic formula. z = (-(9) ± sqrt((9)^2 - 4(7)(-7))) / (2(7))Calculate discriminant: Calculate the discriminant (the part under the square root) b^2 - 4ac. Discriminant = (9)^2 - 4(7)(-7) = 81 + 196 = 277Insert into formula: Insert the discriminant into the quadratic formula. z = (-9 ± sqrt(277)) / (2(7))Simplify expression: Simplify the expression by calculating the denominator 2a. 2a = 2(7) = 14 z = (-9 ± sqrt(277)) / 14Calculate solutions: Calculate the two possible solutions for z. z = (-9 + sqrt(277)) / 14 or z = (-9 - sqrt(277)) / 14Round values: Round the values of z to the nearest hundredth, if required. z ≈ (-9 + 16.64) / 14 or z ≈ (-9 - 16.64) / 14 z ≈ 7.64 / 14 or z ≈ -25.64 / 14 z ≈ 0.55 or z ≈ -1.83

Solve using the quadratic formula. $\newline$ $7z^2 + 9z - 7 = 0$ $\newline$ 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.\newline7z2+9z−7=07z^2 + 9z - 7 = 07z2+9z−7=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. $\newline$ $7z^2 + 9z - 7 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $z =$ _ or $z =$ _