SOLUTION: Solve the equation, x^2+2x=-17 One of the following answers is correct. Which one is it? A) x=2 +or- 8i B) x=-5, x=3 C) x=-1 +or-4i D) x=-1 +or- 3(square root of 2)

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Question 1198779: Solve the equation, x^2+2x=-17
One of the following answers is correct. Which one is it?
A) x=2 +or- 8i
B) x=-5, x=3
C) x=-1 +or-4i
D) x=-1 +or- 3(square root of 2)
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

Why don't you apply the quadratic formula ?



Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Solve the equation, x^2+2x=-17
----------------
x^2 + 2x + 1 = -16
(x+1)^2 = -16
x+1 = sqrt(-16)
x = -1 + 4i, -1 - 4i
====================================
x^2 + 2x + 17 = 0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -64 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -64 is + or - .

The solution is , or
Here's your graph:
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