SOLUTION: a) Solve for x and express the answer in radical form 1 over x + 1 equals x - 4 B) Between which two consectutive integers does the positive root of this equation lie?

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: a) Solve for x and express the answer in radical form 1 over x + 1 equals x - 4 B) Between which two consectutive integers does the positive root of this equation lie?      Log On

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Question 23511: a) Solve for x and express the answer in radical form
1 over x + 1 equals x - 4
B) Between which two consectutive integers does the positive root of this equation lie?
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28x%2B1%29+=+x-4
1+=+%28x-4%29%28x%2B1%29
1+=+x%5E2+-+3x+-+4
x%5E2+-+3x+-+5+=+0
This does not factorise easily, so use the quadratic formula. you will have been shown how to do this, since this question uses it.

Answer is x+=+%283+%2B-+sqrt%2829%29%29%2F2

Work out the positive version, x+=+%283+%2B+sqrt%2829%29%29%2F2, and then write the integer below and above this number, for example if the number was 4.86123, then write 4 and 5.

jon