SOLUTION: Can someone help me with this problem: x^2 + 3/2x = 3

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Question 197469: Can someone help me with this problem: x^2 + 3/2x = 3
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+x%5E2+%2B+3%2F2x+=+3
Complete the square
x%5E2+%2B+%283%2F2%29%2Ax+%2B+%283%2F4%29%5E2+=+3+%2B+%283%2F4%29%5E2
x%5E2+%2B+%283%2F2%29%2Ax+%2B+9%2F16+=+48%2F16+%2B+9%2F16
The left side is a perfect square
%28x+%2B+%283%2F4%29%29%5E2+=+57%2F16
Take the square root of both sides
x+%2B+3%2F4+=++0+%2B-+sqrt%2857%29%2F4
x+=+%28-3+%2B+sqrt%2857%29%29+%2F+4
and
x+=+%28-3+-+sqrt%2857%29%29+%2F+4
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I checked one solution with pencil&paper
OK