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wlad13 [49]
3 years ago
12

Use completing the square to solve for x in the equation (x minus 12) (x + 4) = 9. x = –1 or 15 x = 1 or 7 x = 4 plus-or-minus S

tartRoot 41 EndRoot x = 4 plus-or-minus StartRoot 73 EndRoot
Mathematics
2 answers:
Scrat [10]3 years ago
4 0

Answer:

x = 4 ± \sqrt{73}

Step-by-step explanation:

Given

(x - 12)(x + 4) = 9 ← expand the left side using FOIL

x² - 8x - 48 = 9 ( ad 48 to both sides )

x² - 8x = 57

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 57 + 16

(x - 4)² = 73 ( take the square root of both sides )

x - 4 = ± \sqrt{73} ( add 4 to both sides )

x = 4 ± \sqrt{73}

borishaifa [10]3 years ago
4 0

Answer:

EDGE2020 Option D :}

Step-by-step explanation:

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