SOLUTION: Solve x. x^2+2^x = 100

Algebra.Com
Question 172677: Solve x.
x^2+2^x = 100

Found 2 solutions by Mathtut, Alan3354:
Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!

:
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=404 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 9.04987562112089, -11.0498756211209. Here's your graph:

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Solve x.
x^2+2^x = 100
-------------
mathtut used 2x instead of 2^x.
I was hoping to see someone solve this one, I don't know how.
I know that x = 6, but I don't know how to solve it.

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