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#1**+2 **

82. We have a "double-root" of x = -5

Whenever the graph just touches the x axis like this....the discriminant will be 0

83. Soutions = Roots.....they are x = 1 and x = 5

When the graph passes through the x axis like this....the discriminant is > 0

84. Note that the graph has no real zeroes

I believe the the function shown is y = (x - 1)^2 + 1

So...setting this to 0, we have that

(x - 1)^2 + 1 = 0

(x - 1)^2 = -1 take both roots

x - 1 = ±√-1

x - 1 = ±i

x = 1 ± i = the zeroes

When we have non-real roots.....the discriminant is < 0

CPhill Feb 2, 2019

#2**+1 **

Thanks, CPhill! This was really understandable and helpful for me.

--7H3_5H4D0W

GAMEMASTERX40
Feb 2, 2019