2. In the reading "Descartes La Geometrie Analytic Geom.pdf" (pages 13-14), Descartes shows how to find solutions to z² = az +b² and z² = −az +b² geometrically. Note that ANLM is a right triangle. a. Show that OM is a solution to z² = az +b². b. Show that PM is a solution to z² = −az+b². 0 N a/2 P b L M
2. In the reading "Descartes La Geometrie Analytic Geom.pdf" (pages 13-14), Descartes shows how to find solutions to z² = az +b² and z² = −az +b² geometrically. Note that ANLM is a right triangle. a. Show that OM is a solution to z² = az +b². b. Show that PM is a solution to z² = −az+b². 0 N a/2 P b L M
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 35E
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![2. In the reading "Descartes La Geometrie Analytic Geom.pdf" (pages 13-14), Descartes shows
how to find solutions to z² = az +b² and z² = −az +b² geometrically. Note that ANLM is a right
triangle.
a. Show that OM is a solution to z² = az +b².
b. Show that PM is a solution to z² = −az+b².
0
N
a/2
P
b
L
M](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda859fed-ae51-422c-9773-627805a70b82%2F4fe046bb-7880-48f4-947e-feddf0f91cbb%2F36j77c_processed.png&w=3840&q=75)
Transcribed Image Text:2. In the reading "Descartes La Geometrie Analytic Geom.pdf" (pages 13-14), Descartes shows
how to find solutions to z² = az +b² and z² = −az +b² geometrically. Note that ANLM is a right
triangle.
a. Show that OM is a solution to z² = az +b².
b. Show that PM is a solution to z² = −az+b².
0
N
a/2
P
b
L
M
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