+0

Find the roots/solutions/zeroes: 2

-5
376
4
+956

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

Feb 2, 2019

#1
+111438
+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

Feb 2, 2019
#2
+956
-4

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

--7H3_5H4D0W

GAMEMASTERX40  Feb 2, 2019
#3
+111438
+1

OK.....only 7H3  5H4DOW  knows  !!!

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

CPhill  Feb 2, 2019
edited by CPhill  Feb 2, 2019
#4
+956
-4

XD Haha! Nice reference there CPhill!

--7H3_5H4D0W

GAMEMASTERX40  Feb 2, 2019