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

 Aug 3, 2024
 #1
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First , simplify this equation to:

 x^2 + 15x + k = 0      Where   a = 1    b = 15    c = k 

   if the discriminant  (b^2 - 4ac)   is equal to zero, it will be a 'double root' 

             b^2 - 4ac = 0 

                15^2 - 4 (1)(k) = 0 

                  225 = 4k 

                    k = 225/4 

 Aug 3, 2024

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