write the value of alpha for which x2+4x+alpha=0 has equal roots
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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
••••
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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