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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.

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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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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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