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
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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