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Taya2010 [7]
3 years ago
5

Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).

Mathematics
1 answer:
Colt1911 [192]3 years ago
5 0

Answer:

1 , -4 , 2 + 5i , 2 - 5i

Step-by-step explanation:

g(x) = (x² + 3x - 4)(x² - 4x + 29)

x² + 3x - 4 = (x-1)(X+4)        x = 1     or x = -4

roots of x² - 4x + 29 = ax² + bx + c

x = (-b ± √b²-4ac) / 2a

x = (4 ± √16 - 4*29) / 2 = (4±√-100) / 2 = (4±10i)/2 = 2 ± 5i

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