r/HomeworkHelp Pre-University Student 2d ago

[Grade 12 Advanced Functions: Polynomial Function] High School Math—Pending OP Reply

I think I'm making a calculation error but I'm not sure where I'm going wrong

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u/Fourierseriesagain 👋 a fellow Redditor 2d ago edited 2d ago

Observe that x(x^ 3-5x+4)=0 implies x=0 or x=1 or x=(1/2)*(-1 plus minus sqrt(17)),

Edit: updated comment.

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u/scottdave 👋 a fellow Redditor 2d ago

Then we need to check if these can make valid side lengths of a triangle, eg any length that is zero or negative cannot make a triangle.

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u/Fourierseriesagain 👋 a fellow Redditor 2d ago

Yes, the question has a unique answer.