SOLUTION: I solved x^2-4 = 0: x = +2, x = -2 What other parabolas have the same solutions? I know 4 - x^2 = 0 is another, but I can't figure how to find any others. thx

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I solved x^2-4 = 0: x = +2, x = -2 What other parabolas have the same solutions? I know 4 - x^2 = 0 is another, but I can't figure how to find any others. thx       Log On


   

Question 174252: I solved x^2-4 = 0: x = +2, x = -2
What other parabolas have the same solutions? I know 4 - x^2 = 0 is another, but I can't figure how to find any others. thx
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = a(x-2)(x+2)
has the same solutions for any value of "a" except a = 0.
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Cheers,
Stan H.