SOLUTION: I am wondering if i did this problem correctly, I was suppose to complete the sqaure. 4x^-4x=-15, the answer i came up with was...x=4+-2i Square root 11 over 4

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I am wondering if i did this problem correctly, I was suppose to complete the sqaure. 4x^-4x=-15, the answer i came up with was...x=4+-2i Square root 11 over 4      Log On


   



Question 8566: I am wondering if i did this problem correctly, I was suppose to complete the sqaure. 4x^-4x=-15, the answer i came up with was...x=4+-2i Square root 11 over 4
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Hmmm... Let's start by completing the square.
4x%5E2+-+4x+=+-15 Complete the square by adding 1 to both sides.
4x%5E2+-+4x+%2B+1+=+-15+%2B+1 Factor the left side.
%282x+-+1%29%5E2+=+-14 To solve this, take the square root of both sides then add 1 to both sides..
2x+=+1%2B-sqrt%28-14%29 Divide both sides by 2.
x+=+1%2F2%2B-sqrt%28-14%29%2F2

x+=+1%2F2%2B-sqrt%287%2F2%29i