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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 - 30x + 32

25x^2 - 30x - 9

x^2 - 28x + 196

 Oct 9, 2022
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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?     

 

To have a repeated root, a and c both have to be positive squares.     

There is only one of the listed quadratics that fits this description.     

 

     x2 – 28x + 196 factors to (x – 14)(x – 14)   ——>>   x  =  +14     

.     

 Aug 28, 2025

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