Solve by completing the square. j^2 − 18j = 23 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. j = _____ or j = _____

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Solve by completing the square.  j^2 − 18j = 23 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.  j = _____ or j = _____

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Move Constant Term: Rewrite the equation in the form of j^2 + bj = c. We have the equation j^2 − 18j = 23. To complete the square, we need to move the constant term to the other side of the equation. j^2 − 18j + ___ = 23 + ___Find Completing Number: Find the number to complete the square. To complete the square, we need to add (b/2)^2 to both sides of the equation, where b is the coefficient of j. In this case, b = -18. (-18/2)^2 = 81 So we add 81 to both sides of the equation. j^2 − 18j + 81 = 23 + 81Factor and Simplify: Factor the left side of the equation and simplify the right side. The left side of the equation is now a perfect square trinomial. (j − 9)^2 = 104Take Square Root: Take the square root of both sides of the equation. To solve for j, we take the square root of both sides. √((j − 9)^2) = ±√(104) j − 9 = ±√(104)Solve for j: Solve for j. We add 9 to both sides of the equation to isolate j. j = 9 ± √(104) Since √(104) is approximately 10.20, we can write the approximate solutions. j ≈ 9 + 10.20 or j ≈ 9 - 10.20 j ≈ 19.20 or j ≈ -1.20

Solve by completing the square. $\newline$ $j^2 - 18j = 23$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $j =$ _ or $j =$ _

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Solve by completing the square.\newlinej2−18j=23j^2 - 18j = 23j2−18j=23\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlinej=j = j= _____ or j=j = j= _____

Solve by completing the square. $\newline$ $j^2 - 18j = 23$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $j =$ _ or $j =$ _