Solve using the quadratic formula. g^2 − 6g − 5 = 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.  g^2 − 6g − 5 = 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: Identify the values of a, b, and c in the quadratic equation g^2 − 6g − 5 = 0. The standard form of a quadratic equation is ax^2 + bx + c = 0. Comparing this with our equation, we get: a = 1 b = -6 c = -5Substitute 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). Here, a = 1, b = -6, and c = -5.Calculate discriminant: Calculate the discriminant, which is the part under the square root in the quadratic formula: b^2 - 4ac. Discriminant = (-6)^2 - 4(1)(-5) Discriminant = 36 + 20 Discriminant = 56Substitute discriminant into formula: Substitute the discriminant back into the quadratic formula and simplify. g = (-(-6) ± sqrt(56)) / (2*1) g = (6 ± sqrt(56)) / 2 Since sqrt(56) can be simplified to sqrt(4*14) which is 2*sqrt(14), we get: g = (6 ± 2*sqrt(14)) / 2Simplify expression: Simplify the expression by dividing both terms in the numerator by 2. g = (3 ± sqrt(14)) We now have two possible solutions for g.Round values: Round the values of g to the nearest hundredth, if necessary. g = 3 + sqrt(14) or g = 3 - sqrt(14) g ≈ 3 + 3.74 or g ≈ 3 - 3.74 g ≈ 6.74 or g ≈ -0.74

Solve using the quadratic formula. $\newline$ $g^2 - 6g - 5 = 0$ $\newline$ 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.\newlineg2−6g−5=0g^2 - 6g - 5 = 0g2−6g−5=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. $\newline$ $g^2 - 6g - 5 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $g =$ _ or $g =$ _