SOLUTION: Solve the equation: 10/b2 - 3b - 4 = 3b/b -4 - 2/b + 1

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Question 1008226: Solve the equation: 10/b2 - 3b - 4 = 3b/b -4 - 2/b + 1


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
10%2F%28b%5E2+-+3b+-+4%29+=+3b%2F%28b+-4%29+-+2%2F%28b+%2B+1+%29







10%2F%28%28b%2B1%29+%28b-4%29%29+=+%283b%5E2+%2B+b+%2B8%29%2F%28%28b+%2B+1+%29%28b+-4%29%29



10+=+3b%5E2+%2B+b+%2B8

3b%5E2+%2B+b+%2B8-10=0

3b%5E2+%2B+b+-2=0

3b%5E2+%2B+3b-2b+-2=0



%283b-2%29%28b+%2B1%29=0

solutions:
if 3b-2=0 =>3b=2 =>b=2%2F3
if b+%2B1=0 => b=+-1-> since we have b%2B1 in denominator at very beginning, we exclude this solution

so, the value of b that gives as real solution is b=2%2F3