Solve using the quadratic formula. 2k^2 − k − 9 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. k = _____ or k = _____

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Solve using the quadratic formula.  2k^2 − k − 9 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.  k = _____ or k = _____

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Identify coefficients: Identify the coefficients a, b, and c in the quadratic equation 2k^2 − k − 9 = 0 by comparing it to the standard form ax^2 + bx + c = 0. a = 2, b = -1, c = -9Substitute values into formula: Substitute the values of a, b, and c into the quadratic formula, k = (-b ± sqrt(b^2 - 4ac)) / (2a). k = (-(-1) ± sqrt((-1)^2 - 4*2*(-9))) / (2*2)Simplify expression and constants: Simplify the expression inside the square root and the constants outside the square root. k = (1 ± sqrt(1 + 72)) / 4 k = (1 ± sqrt(73)) / 4Calculate possible solutions: Calculate the two possible solutions for k using the simplified square root value. k = (1 + sqrt(73)) / 4 or k = (1 - sqrt(73)) / 4Round values if necessary: If necessary, round the values of k to the nearest hundredth. k ≈ (1 + 8.54) / 4 or k ≈ (1 - 8.54) / 4 k ≈ 9.54 / 4 or k ≈ -7.54 / 4 k ≈ 2.39 or k ≈ -1.89

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

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Solve using the quadratic formula.\newline2k2−k−9=02k^2 - k - 9 = 02k2−k−9=0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlinek=k = k=_____ or k=k = k=_____

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