SOLUTION: How does n=4 in the problem: sqrt(n)+6=sqrt(16n)? Please show me

Question 603653: How does n=4 in the problem: sqrt(n)+6=sqrt(16n)? Please show me

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How does n=4 in the problem: sqrt(n)+6=sqrt(16n)?
--------

8 = 8
================
sqrt(n)+6=sqrt(16n)
Square both sides
n + 12sqrt(n) + 36 = 16n
12sqrt(n) = 15n - 36
Square again
144n = 225n^2 - 1080n + 1296
25n^2 - 136n + 144 = 0

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=4096 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4, 1.44. Here's your graph:

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