Showing a line meets a curve for every value of a constant
Showing a line meets a curve for every value of a constant
Secondary 3
Show that the line \(y=3x+p\) meets the curve \(y=px^2+7x+4\) for all real values of \(p\).
Solution:
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Answer:Shown: \(p=0\) gives \(x=-1\); for \(p\ne0\), \(D=4(p-2)^2\ge0\).
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