Solve by completing the square. g^2 − 8g − 35 = 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 − 8g − 35 = 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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Move Constant Term: Write the equation in the form of g^2 + bg = c. The given equation is g^2 − 8g − 35 = 0. Add 35 to both sides to move the constant term to the right side. g^2 − 8g + 35 − 35 = 0 + 35 g^2 − 8g = 35Complete the Square: Complete the square by adding (b/2)^2 to both sides. Since b = -8 in the equation g^2 − 8g, we calculate (-8/2)^2 = 16 and add it to both sides. g^2 − 8g + 16 = 35 + 16 g^2 − 8g + 16 = 51Factor Perfect Square Trinomial: Factor the left side as a perfect square trinomial. The left side is now a perfect square trinomial, which factors into (g − 4)^2. (g − 4)^2 = 51Take Square Root: Take the square root of both sides. To solve for g, take the square root of both sides of the equation. √((g − 4)^2) = ±√(51) g − 4 = ±√(51)Isolate and Solve for g: Solve for g. To isolate g, add 4 to both sides of the equation. g − 4 + 4 = ±√(51) + 4 g = 4 ± √(51)Calculate Approximate Values: Calculate the approximate values of g. Since √(51) is approximately 7.14, we can write the approximate values of g. g ≈ 4 + 7.14 or g ≈ 4 - 7.14 g ≈ 11.14 or g ≈ -3.14

Solve by completing the square. $\newline$ $g^2 - 8g - 35 = 0$ $\newline$ 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.\newlineg2−8g−35=0g^2 - 8g - 35 = 0g2−8g−35=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. $\newline$ $g^2 - 8g - 35 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $g =$ _ or $g =$ _