Solve by completing the square. s^2 + 24s = –47 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. s = _____ or s = _____

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Solve by completing the square.  s^2 + 24s = –47 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.  s = _____ or s = _____

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Write equation in form: Write the equation in the form of s^2 + bs = c. The given equation is already in this form: s^2 + 24s = –47.Move constant term: Move the constant term to the right side of the equation. Add 47 to both sides to isolate the s^2 and s terms on the left side. s^2 + 24s + 47 = 0 + 47 s^2 + 24s = 47Find completing square number: Find the number to complete the square. Take half of the coefficient of s, square it, and add it to both sides of the equation. (24/2)^2 = 12^2 = 144 s^2 + 24s + 144 = 47 + 144 s^2 + 24s + 144 = 191Factor left side: Factor the left side of the equation. The left side is now a perfect square trinomial. (s + 12)^2 = 191Take square root: Take the square root of both sides of the equation. √((s + 12)^2) = ±√191 s + 12 = ±√191Solve for s: Solve for s. Subtract 12 from both sides to isolate s. s = -12 ± √191Calculate approximate decimal values: Calculate the approximate decimal values of s. √191 ≈ 13.82 (rounded to the nearest hundredth) s ≈ -12 + 13.82 or s ≈ -12 - 13.82 s ≈ 1.82 or s ≈ -25.82

Solve by completing the square. $\newline$ $s^2 + 24s = -47$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $s =$ _ or $s =$ _

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Solve by completing the square.\newlines2+24s=−47s^2 + 24s = -47s2+24s=−47\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlines=s = s= _____ or s=s = s= _____

Solve by completing the square. $\newline$ $s^2 + 24s = -47$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $s =$ _ or $s =$ _