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- Admin
- #1

- Feb 14, 2012

- 3,684

\) has exactly three real solutions.

- Thread starter anemone
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- Thread starter
- Admin
- #1

- Feb 14, 2012

- 3,684

\) has exactly three real solutions.

\) has exactly three real solutions.

\(\displaystyle y= |x-|x-|x-4||| \)

is piece-wise linear with knots at \(\displaystyle x=4/3,\ 2,\ 4\) and so considering the shape of the curve \(\displaystyle a=y(2)\) is the value sought.

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- #3

The OP is having trouble logging on to MHB, and has asked me to congratulate you on her behalf on finding the correct answer, and says the method you have used is nearly identical to the method she used in finding the solution..

\(\displaystyle y= |x-|x-|x-4||| \)

is piece-wise linear with knots at \(\displaystyle x=4/3,\ 2,\ 4\) and so considering the shape of the curve \(\displaystyle a=y(2)\) is the value sought.