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A student solved the equation x^2-6x+6=0 by completing the square. Move numbers to the lines to complete the student's calculation. x^2-6x+6=0 (x^2-6x+underline ( ))+underline ( )+6=0 (x-3)^2=underline ( ) x-3=pm underline ( ) x=underline ( )+underline ( )and x=underline ( )+underline ( )

Question

A student solved the equation x^2-6x+6=0 by completing the square. Move numbers to the lines to complete the student's calculation. x^2-6x+6=0 (x^2-6x+underline ( ))+underline ( )+6=0 (x-3)^2=underline ( ) x-3=pm underline ( ) x=underline ( )+underline ( )and x=underline ( )+underline ( )

A student solved the equation x^2-6x+6=0
by completing the square.
Move numbers to the lines to complete the student's calculation.
x^2-6x+6=0
(x^2-6x+underline ( ))+underline ( )+6=0
(x-3)^2=underline ( )
x-3=pm underline ( )
x=underline ( )+underline ( )and x=underline ( )+underline ( )

Solution

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TrumanAdvanced · Tutor for 1 years

Answer

$x_{1}=\sqrt{3}+3,x_{2}=-\sqrt{3}+3$
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