SOLUTION: Determine the nature of the solutions of the equation x2-4=0. A: 1 real solution B: 2 real solutions C: 2 imaginary solutions

SOLUTION: Determine the nature of the solutions of the equation x2-4=0. A: 1 real solution B: 2 real solutions C: 2 imaginary solutions

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Question 374363: Determine the nature of the solutions of the equation x2-4=0.
A: 1 real solution
B: 2 real solutions
C: 2 imaginary solutions

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
The fastest way to answer this question uses the discriminant, , with the a, b and c coming from . If this expression is:

zero, then there is one real solution.
positive, then there are two real solutions
negative, then there are two complex (non-real) solutions

For the discriminant is:

which simplifies as follows:
0 - 4(1)(-4)
0 + 16
16
This is positive so there are two real solutions.
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