Solve by completing the square. g^2 − 4g − 49 = 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 by completing the square.  g^2 − 4g − 49 = 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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Rewrite Equation: Rewrite the equation in the form of g^2 + bg = c. Add 49 to both sides to move the constant term to the right side of the equation. g^2 − 4g − 49 + 49 = 0 + 49 g^2 − 4g = 49Complete the Square: Complete the square by adding the square of half the coefficient of g to both sides. Since (-4/2)^2 = 4, add 4 to both sides. g^2 − 4g + 4 = 49 + 4 g^2 − 4g + 4 = 53Factor Left Side: Factor the left side of the equation. g^2 − 4g + 4 can be factored into (g − 2)^2. (g − 2)^2 = 53Take Square Root: Take the square root of both sides of the equation. sqrt((g − 2)^2) = ±sqrt(53) g − 2 = ±sqrt(53)Solve for g: Solve for g by adding 2 to both sides of the equation. g − 2 + 2 = ±sqrt(53) + 2 g = 2 ± sqrt(53)Calculate Approximate Values: Calculate the approximate values of g, rounding to the nearest hundredth. g ≈ 2 + sqrt(53) or g ≈ 2 - sqrt(53) g ≈ 2 + 7.28 or g ≈ 2 - 7.28 g ≈ 9.28 or g ≈ -5.28

Solve by completing the square. $\newline$ $g^2 - 4g - 49 = 0$ $\newline$ 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 by completing the square.\newlineg2−4g−49=0g^2 - 4g - 49 = 0g2−4g−49=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 by completing the square. $\newline$ $g^2 - 4g - 49 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $g =$ _ or $g =$ _