SOLUTION: (x-3)(x-2)=14

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Question 639932: (x-3)(x-2)=14
Answer by josh_jordan(263) About Me  (Show Source):
You can put this solution on YOUR website!
To solve, first expand the left side of the equal sign:
(x - 3)(x - 2) = x%5E2+-+5x+%2B+6+=+14
Next, subtract 14 from both sides of the equation:
x%5E2+-+5x+%2B+6+-+14+=+14+-+14
This gives us
x%5E2+-+5x+-+8+=+0
We unfortunately cannot factor this quadratic equation, so from this point, we could try completing the square or using the quadratic formula. Let's use the quadratic formula:
x+=+%28-%28-5%29%2B-sqrt%28-5%5E2-4%2A1%2A%28-8%29%29%29%2F%282%2A1%29, which reduces down to
x+=+%285%2B-sqrt%2825%2B32%29%29%2F2 = x+=+5%2B-sqrt%2857%29%2F2
FINAL ANSWER: x+=+%285%2Bsqrt%2857%29%29%2F2 AND x+=+%285-sqrt%2857%29%29%2F2