SOLUTION: Evaluate and get exact answer for: {{{ 10^x + 10^(-x) = 48 }}}

Question 685172: Evaluate and get exact answer for:

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Evaluate and get exact answer for:

u = 10^x

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=2300 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 47.9791576165636, 0.0208423834364027. Here's your graph:

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10^x = 24 + sqrt(575)
x = log(24 + sqrt(575))
x = log(24 - sqrt(575))

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