Posted by miss b on Wednesday, December 19, 2012 at 8:47pm.
Apparently, I got this question wrong on a test and I'd like to know what error I made... can you help?
Here's what I did:
<> means its in a radical and +/- means plus or minus
- math... Ms, Sue can you help? - Reiny, Wednesday, December 19, 2012 at 10:31pm
The error is in your third line
you take 1/2 of the middle coefficient, and then square it
(1/2)(1/2) = 1/4 --- (1/4)^2 = 1/16
b^2 + (1/2)b + 1/16 = 3 + 1/16
(b+1/4)^2 = 49/16
b + 1/4 = ± 7/4
b = -1/4 ± 7/4 = 6/4 or -8/4
b = -2 or 3/2
since we have rational answers, we know it would have factored to
= 2b^2 + b - 6 , the original.
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