We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
-5
183
4
avatar+8 

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

 

 Feb 2, 2019
 #1
avatar+103140 
+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+8 
-4

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

 

--7H3_5H4D0W

GAMEMASTERX40  Feb 2, 2019
 #3
avatar+103140 
+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+8 
-4

XD Haha! Nice reference there CPhill!

 

--7H3_5H4D0W

GAMEMASTERX40  Feb 2, 2019

14 Online Users