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if the equation ax^3 - 9x^2 + 12x - 5 = 0 has two equal real roots then the 'a' equals

if the equation ax^3 - 9x^2 + 12x - 5 = 0 has two equal real roots then the 'a' equals

Grade:12

1 Answers

Jayant Kishore
144 Points
8 years ago
As it has repeated real roots this means for
   y=ax3 – 9x2 +12x -5 
dy/dx must be zero at that point .
dy/dx =3ax2-18x+12=0
for dy/dx to have real root D>=0       =>    a

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