Question

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

Answer 1

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

Answer 2

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

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√(-64)`

`x + 7=\pm 8i` ( √-1 = i )

`x = -7\pm 8i`

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