Solve using the quadratic formula. 9g^2 − 8g − 3 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. g = _____ or g = _____

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Solve using the quadratic formula.  9g^2 − 8g − 3 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.  g = _____ or g = _____

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Identify values of a, b, c: Identify the values of a, b, and c in the quadratic equation 9g^2 − 8g − 3 = 0. By comparing the equation to the standard form ax^2 + bx + c = 0, we find: a = 9 b = -8 c = -3Substitute values into formula: Substitute the values of a, b, and c into the quadratic formula to find g. The quadratic formula is g = (-b ± sqrt(b^2 - 4ac)) / (2a). So we have: g = (-(-8) ± sqrt((-8)^2 - 4*9*(-3))) / (2*9)Simplify expression and constants: Simplify the expression under the square root and the constants outside the square root. Calculate the discriminant (b^2 - 4ac): Discriminant = (-8)^2 - 4*9*(-3) Discriminant = 64 + 108 Discriminant = 172 Now, simplify the constants: g = (8 ± sqrt(172)) / 18Simplify square root: Simplify the square root of the discriminant, if possible. Since 172 is not a perfect square, we cannot simplify the square root further. Therefore, we have: g = (8 ± sqrt(172)) / 18Identify possible values for g: Identify the two possible values for g. We have two solutions for g, corresponding to the '±' in the quadratic formula: g = (8 + sqrt(172)) / 18 or g = (8 - sqrt(172)) / 18Approximate values of g: Simplify the fractions or round the values of g to the nearest hundredth, if necessary. First, let's approximate sqrt(172) to the nearest hundredth: sqrt(172) ≈ 13.11 Now, calculate the approximate values of g: g ≈ (8 + 13.11) / 18 or g ≈ (8 - 13.11) / 18 g ≈ 21.11 / 18 or g ≈ -5.11 / 18 g ≈ 1.17 or g ≈ -0.28

Solve using the quadratic formula. $\newline$ $9g^2 - 8g - 3 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $g =$ _ or $g =$ _

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Solve using the quadratic formula.\newline9g2−8g−3=09g^2 - 8g - 3 = 09g2−8g−3=0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlineg=g = g=_____ or g=g = g=_____

Solve using the quadratic formula. $\newline$ $9g^2 - 8g - 3 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $g =$ _ or $g =$ _