Noah and Lin are each trying to solve the equation x^2-6x+10=0. They know that the solutions to x^2=-1 are i and -i, but they are not sure how to use this information to solve for x in their equation. Show how Noah can finish his work using complex numbers. Here is Noah's work:

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.1: Simplifying Fractions
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Noah and Lin are each trying to solve the equation x^2-6x+10=0. They know that the solutions to x^2=-1 are i and -i, but they are not sure how to use this information to solve for x in their equation.

Show how Noah can finish his work using complex numbers.

Here is Noah's work:

 

х2 — бх + 10
= 0
6x
= -10
х2 — 6х + 9
= -10 + 9
(х — 3)2
:-1
Transcribed Image Text:х2 — бх + 10 = 0 6x = -10 х2 — 6х + 9 = -10 + 9 (х — 3)2 :-1
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