Solve by completing the square. k^2 + 2k − 35 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. k = _____ or k = _____

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Solve by completing the square.  k^2 + 2k − 35 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.  k = _____ or k = _____

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Rewrite and Add Constant: k^2 + 2k − 35 = 0 Rewrite the equation in the form of x^2 + bx = c. Add 35 to both sides to move the constant term to the right side of the equation. k^2 + 2k − 35 + 35 = 0 + 35 k^2 + 2k = 35Complete the Square: k^2 + 2k = 35 Choose the number to add to both sides to complete the square. Since (2/2)^2 = 1, add 1 to both sides. k^2 + 2k + 1 = 35 + 1 k^2 + 2k + 1 = 36Identify Factored Form: k^2 + 2k + 1 = 36 Identify the equation after factoring the left side. k^2 + 2k + 1 = 36 (k + 1)^2 = 36Take Square Root: (k + 1)^2 = 36 Identify the equation after taking the square root on both sides. Take the square root of both sides of the equation. sqrt((k + 1)^2) = sqrt(36) k + 1 = ±sqrt(36) k + 1 = ±6Isolate Variable: We found: k + 1 = ±6 Choose the equation after isolating the variable k. To isolate k, subtract 1 from both sides of the equation. k + 1 - 1 = ±6 - 1 k = -1 ± 6Find Values of k: We have: k = -1 ± 6 What are the two values of k? k = -1 + 6 implies k = 5. k = -1 - 6 implies k = -7. Values of k: 5, -7

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

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Solve by completing the square.\newlinek2+2k−35=0k^2 + 2k - 35 = 0k2+2k−35=0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlinek=k = k= _____ or k=k = k= _____

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