find the values of m and b.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.1: The Circle And The Parabola
Problem 88E
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please help with b)

Question 2
P and Q are points on the curve y = x¹ +4x³, where x=a and x = ß respectively. The line y=mx+b is a
tangent to the curve at both points P and Q.
(a) Explain why the equation x¹ +4x³-mx-b=0 has roots a, a, ß and B.
(b) Hence, find the values of m and b.
Transcribed Image Text:Question 2 P and Q are points on the curve y = x¹ +4x³, where x=a and x = ß respectively. The line y=mx+b is a tangent to the curve at both points P and Q. (a) Explain why the equation x¹ +4x³-mx-b=0 has roots a, a, ß and B. (b) Hence, find the values of m and b.
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