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Llana [10]
3 years ago
7

Find the zeros of y= x2 - 4x - 9 by completing the square.

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
5 0

Answer:

A

Step-by-step explanation:

To find the zeros equate y to zero, that is

x² - 4x - 9 = 0 ( add 9 to both sides )

x² - 4x = 9

To complete the square

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

x² + 2(- 2)x + 4 = 9 + 4

(x - 2)² = 13 ( take the square root of both sides )

x - 2 = ± \sqrt{13} ( add 2 to both sides )

x = 2 ± \sqrt{13} → A

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