SOLUTION: log10(x+3)+log10(x-1)=1

Question 325591: log10(x+3)+log10(x-1)=1
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!

Solve using the quadratic formula to get:
x = {2.741, -4.741}
The negative solution is extraneous leaving:
x = 2.741
.
details of quadratic follows:
.

Solved by pluggable solver: SOLVE quadratic equation with variable

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=56 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.74165738677394, -4.74165738677394. Here's your graph:

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