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Find the constant k such that the quadratic 2x^2 + 3x + 8x - x^2 + 4x + k has a double root.

 Jun 22, 2024
 #1
avatar+1952 
+1

First, let's combine all our like terms. We have

x2+15x+k

 

There are many possibilities for what k may be. 

As long as two factors of k add up to 15, we are good. 

 

Examples are such as

k=14;x2+15x+14=(x+14)(x+1)k=56;x2+15x+56=(x+7)(x+8)

 

k can also be negative, such as

k=100;x2+15x100=(x+20)(x5)

 

Thanks! :)

 Jun 22, 2024

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