SOLUTION: Determine the nature of the solutions of the equation: Does it have 1 real solution, 2 real solutions, or 2 non real solutions? x^2 - 8x + 16 = 0 (-8)^2 -16*x*16= 64-256 The

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Question 233413: Determine the nature of the solutions of the equation:
Does it have 1 real solution, 2 real solutions, or 2 non real solutions?
x^2 - 8x + 16 = 0
(-8)^2 -16*x*16= 64-256
The answer 2 non real solutions? I think I went wrong somewhere.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Does it have 1 real solution, 2 real solutions, or 2 non real solutions?
x^2 - 8x + 16 = 0
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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=0 is zero! That means that there is only one solution: .
Expression can be factored:

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

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It has a double solution at x = 4. 4 is a real number --> 1 real
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