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#1 2022-12-01 20:11:16

Registered: 2007-08-03
Posts: 227


if the two roots of the equation

are elements of the interval
find the interval of

Last edited by tony123 (2022-12-01 20:11:49)


#2 2022-12-01 20:48:19

Registered: 2010-06-20
Posts: 9,923

Re: interval

hi tony123

It's worth trialling different k values using the grapher here:

You'll find that x = 1/4 is always the vertical line of symmetry, so one limit will be found by finding the equation when the graph goes through (1,0)

And as k becomes more positive the curve shifts up and eventually fails to cross the x axis at all. That should give you the other limit.


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