Question

Write the value of  for which x2 + 4x +  is a perfect square​

Answer 1

Given Quadratic equation is

x² + 4x + alpha = 0 ,

compare above equation with

ax²+bx+c= 0, we get

a = 1 , b = 4 , c = alpha

discreminant ( D ) = 0

[ equal roots ]

4ac = b²

=> 4 × 1 × alpha = 4²

=> alpha = 4²/4

=> alpha = 4

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