Question

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

Answer 1

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

Answer 2

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