SOLUTION: Solve the following equations algebraically. Approximate the result to 3 decimal places. In x + in(x+1)=1

Question 480432: Solve the following equations algebraically. Approximate the result to 3 decimal places.
In x + in(x+1)=1

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
I think you mean natural logs.
ln(x) + ln(x+1) = 1

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=11.8731273138362 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.22287022972105, -2.22287022972105. Here's your graph:

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