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September 21, 2014

September 21, 2014

Posted by **Rose** on Monday, February 27, 2012 at 5:23pm.

- Mat/117 DQ1 -
**Damon**, Monday, February 27, 2012 at 6:22pmYou can tell by the discriminant

a x^2 + b x + c = 0

look at

b^2 - 4 ac

If positive, then two real solutions

If zero, then vertex on x axis and both solutions are the same

If negative, then no real solutions, solutions are complex numbers

for the rest, work up from factors

for example

(x-1)(x-2) = 0 two real x = 1 or 2

x^2 -3 x + 2 = 0

for example

(x-2)(x-2)

x^2 - 4 x + 4 = 0 one solution (or two both the same)

(x-i)(x+i) = 0

x^2 - i^2 = x^2+1 = 0 no real solutions

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