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One of the five quadratics below has a repeated root. (The other four have distinct roots.) What is the repeated root?
\( -x^2 + 18x + 81 \\ 3x^2 - 6x + 9 \\ 8x^2 - 32x + 32 \\ 25x^2 - 30x - 9 \\ x^2 - 14x + 196 \)

 
 Aug 6, 2022
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The repeated root comes from

 

8x^2  -32x + 32  = 0

 

8 ( x^2 - 4x + 4) = 0

 

x^2 - 4x + 4  = 0

 

(x - 2)^2  = 0

 

The repeated root  is   x  = 2

 

 

cool cool cool

 
 Aug 6, 2022

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