SOLUTION: how does the number of solutions relate to a quadratic equations

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Question 854796: how does the number of solutions relate to a quadratic equations
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

quadratic equations may have zero, one or two real solutions

Examples:

 y = x^2 + 4   NO  real solutions  (Green) 0 = x^2+4,  x^2 = -4, x = ± 2i

 y = x^2       1   real solutions  x = 0 (Blue) 0 = x^2,  x = 0

 y = x^2 - 4   2   real solutions   x = ± 2 (Purple), 0 = x^2-4, x^2 = 4