Noah and Lin are each trying to solve the equation  x^2-6x+10=0. They

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 62E
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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.

Lin knows 36-40 is a negative number and isn’t sure what to do next. Show how Lin can write her solution using i.

Lin decides to solve the equation using the quadratic formula. Here is her work:

-b±Vb2-4ac
2a
-(-6)±/(-6)2-4(1)(10)
%3D
2(1)
6±V36-40
Transcribed Image Text:-b±Vb2-4ac 2a -(-6)±/(-6)2-4(1)(10) %3D 2(1) 6±V36-40
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