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

 Dec 15, 2023
 #1
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Simplify as

 

x^2 + 15x  +  k   =  0

 

The double root occurs when the  discriminant   =   0

 

So

 

15^2  - 4 (1)k  = 0

 

225  - 4k =   0

 

225  = 4k

 

k = 225 / 4

 

 

cool cool cool

 Dec 16, 2023

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