If using the method of completing the square to solve the quadratic equation x2 + 8x + 11 = 0, which number would have to be added to "complete the
square"?

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step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6