SOLUTION: 30.) Solve each equation. x/3=4/x+1

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Question 163899This question is from textbook Elementary and Intermediate
: 30.) Solve each equation.
x/3=4/x+1 This question is from textbook Elementary and Intermediate

Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
x/3=4/x+1
multiply this equation by x then we get:
x%5E2%2F3+=+4+%2B+x
multiply it again by 3 the we get:
x%5E2+=+12+%2B+3x
<=> x%5E2+-+3x+-+12+=+0
Use abc formula to get the answer:
x1+=+%28-b+%2B+sqrt%28b%5E2+-+4%2Aa%2Ac%29%29%2F%282%2Aa%29
x1+=+%28-%28-3%29+%2B+sqrt%28%28-3%29%5E2+-+4%2A1%2A%28-12%29%29%29%2F%282%2A1%29
x1+=+%283+%2B+sqrt%289+%2B+48%29%29%2F2
x1+=+%283+%2B+sqrt%2857%29%29%2F2
x2+=+%28-b+-+sqrt%28b%5E2+-+4%2Aa%2Ac%29%29%2F%282%2Aa%29
x2+=+%28-%28-3%29+-+sqrt%28%28-3%29%5E2+-+4%2A1%2A%28-12%29%29%29%2F%282%2A1%29
x2+=+%283+-+sqrt%289+%2B+48%29%29%2F2
x2+=+%283+-+sqrt%2857%29%29%2F2
so the answers are:
x1+=+%283+%2B+sqrt%2857%29%29%2F2 and x2+=+%283+-+sqrt%2857%29%29%2F2