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+2
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avatar+1786 

Find the roots/solutions/zeroes: Do number 82, 83, and 84.

 

 Feb 2, 2019
 #1
avatar+98153 
+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

 

 

cool cool cool

 Feb 2, 2019
 #2
avatar+1786 
+1

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

 

--7H3_5H4D0W

GAMEMASTERX40  Feb 2, 2019
 #3
avatar+98153 
+1

OK.....only 7H3  5H4DOW  knows  !!!

 

[ From an old radio program in the 1930s -40s.....LOL!!! ]

 

 

cool  cool cool

CPhill  Feb 2, 2019
edited by CPhill  Feb 2, 2019
 #4
avatar+1786 
+1

XD Haha! Nice reference there CPhill!

 

--7H3_5H4D0W

GAMEMASTERX40  Feb 2, 2019

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