SOLUTION: need help with this problem 12-√(12²-4*84)/2 here is what i have so far... 12-√-192/2

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Question 177320: need help with this problem 12-√(12²-4*84)/2
here is what i have so far...
12-√-192/2

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
x+=+%28-%28-12%29+%2B-+sqrt%28+%28-12%29%5E2-4%2A1%2A84+%29%29%2F%282%2A1%29+

x+=+%2812+%2B-+sqrt%28+-192+%29%29%2F2+

But you can't take the square root of a negative number, so use the fact that the imaginary number i is defined as i%5E2+=+-1:

x+=+%2812+%2B-+sqrt%28+i%5E2%28192%29+%29%29%2F2+


x+=+%2812+%2B-+i%2Asqrt%28+192+%29%29%2F2+

x+=+%2812+%2B-+i%2Asqrt%28+64%2A3+%29%29%2F2+

x+=+%2812+%2B-+8i%2Asqrt%28+3+%29%29%2F2+

x+=+6+%2B-+4i%2Asqrt%28+3+%29+