SOLUTION: y-3/y+8=1/5 SOLVE FOR Y

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Question 604229: y-3/y+8=1/5 SOLVE FOR Y
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y+-+3%2Fy+%2B+8+=+1%2F5+
Multiply both sides by +5y+
+5y%5E2+-+15+%2B+40y+=+y+
+5y%5E2+%2B+39y+-+15+=+0+
Use quadratic formula
+y+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+
+a+=+5+
+b+=+39+
+c+=+-15+
+y+=+%28-39+%2B-+sqrt%28+39%5E2+-+4%2A5%2A%28-15%29+%29%29+%2F+%282%2A5%29+
+y+=+%28-39+%2B-+sqrt%28+1521+%2B+300+%29%29+%2F+10+
+y+=+%28-39+%2B-+sqrt%28+1821+%29%29+%2F+10+
+y+=+%28-39+%2B+42.673%29+%2F+10+
+y+=+3.673+%2F+10+
+y+=+.3673+
and also
+y+=+%28-39+-+42.673%29+%2F+10+
+y+=+-81.673+%2F+10+
+y+=+-8.1673+
Both answers should solve the equation
check:
+y+-+3%2Fy+%2B+8+=+1%2F5+
+-8.1673+-+3%2F%28-8.1673%29+%2B+8+=+.2+
+-8.1673+%2B+.36732+%2B+8+=+.2+
+-.1673+%2B+.3673+=+.2+
+.2+=+.2+
OK
You can check the other answer