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Linear function j (x) = - x + 3p , where x and p ∈ Real Numbers with p ≠ 0. Prove that graphs of j(x) = - x + 3p and of g (x) = px2 + (t -1)*x - p have two distinct intersection points for all possible values of "p" and "t".

Linear function j (x) = - x + 3p , where x and p ∈ Real Numbers with p ≠ 0. Prove that graphs of j(x) = - x + 3p and of g (x) = px2 + (t -1)*x - p have two distinct intersection points for all possible values of "p" and "t".

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Linear function j (x) = - x + 3p , where x and p ∈ Real Numbers with p ≠ 0.

Prove that graphs of j(x) = - x + 3p and of g (x) = px2 + (t -1)*x - p have two distinct intersection points for all possible values of "p" and "t".

 

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