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Reptile [31]
3 years ago
8

Solve for x in the equation x^2+14x+17=-96

Mathematics
2 answers:
trapecia [35]3 years ago
5 0

Answer:

The solutions are x = -7 - 8i and x = -7 + 8i

Step-by-step explanation:

Given equation,

x^2+14x+17=-96

Subtracting 17 on both sides,

x^2+14x=-113

Adding 49 on both sides,

x^2+14x+49=-64

(x+7)^2=-64

x + 7 = \pm\sqrt{-64}

x + 7=\pm 8i  ( √-1 = i )

x = -7\pm 8i

Thus, the solutions are x = -7 - 8i and x = -7 + 8i

nordsb [41]3 years ago
3 0

Answer: x = -7 ± 8i


Step-by-step explanation: Solve the euqation for x by finding a, b, and c of the quadratic then applying the quadratic formula

Hope this helps! :) ~Zane


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