Question

Please help! This is part of my grade, please make sure to read the question before answering because I need this to be correct (35 points)

Answer 1

u = -2.34 or u = 18.34

Explanation:

You want to solve u² -16u = 43 by completing the square.

Completing the square

To complete the square, add the square of half the coefficient of the linear term to both sides.

u² -16u +(-16/2)² = 43 +(-16/2)²

u² -16u +64 = 107 . . . . . . . simplify

(u -8)² = 107 . . . . . . . . . write as a square

u -8 = ±√107 . . . . . . square root

u = 8 ± √107 . . . add 8

u = -2.34 or u = 18.34 . . . . . find the decimal values

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