SOLUTION: {{{log10(x-6) + log10 (x-6) = 2 }}}

Question 37545:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
log10(x-6) + log10 (x-6) = 2
log[(x-6)(x-6)]=2
log[x^2-12x+36]=2
x^2-12x+26=100
x^2-12x-74=

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=440 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4.48808848170152, -16.4880884817015. Here's your graph:

Hope this helps.
Cheers,
Stan H.
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