The two curves can be associated with the continued proportionality Р Y TIE x = X Show that p²(r-x) = x³ Use your work to show that the cubic equation p²(r-x) = x³ has a real solution. Explain why your work does NOT show that p²(r-x) = x³ has TWO real solutions.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The two curves can be associated with the continued proportionality
P X
Y
Т
Y
TIX
Show that p² (r-x) = x³
-
=
Use your work to show that the cubic equation p²(r-x) = x³ has a real solution.
Explain why your work does NOT show that p²(r-x) = x³ has TWO real solutions.
Transcribed Image Text:The two curves can be associated with the continued proportionality P X Y Т Y TIX Show that p² (r-x) = x³ - = Use your work to show that the cubic equation p²(r-x) = x³ has a real solution. Explain why your work does NOT show that p²(r-x) = x³ has TWO real solutions.
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