The first few steps in solving the quadratic equation 9x2 + 49x = 22 − 5x by completing the square are shown.9x2 + 49x = 22 − 5x9x2 + 54x = 229(x2 + 6x) = 22

To complete the square in x² + 6x, take half of 6 and square it: (6 ÷ 2)² = 9. Adding 9 inside the parentheses adds 9 × 9 = 81 to the left side, so add 81 to the right side too: 22 + 81 = 103. The resulting equation is 9(x² + 6x + 9) = 103, choice D.

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