Question

Determine the nature of roots of the equation 16x2

-65x+4=0​

Answer 1

16x2+6kx+4=0 has equal roots. 

Therefore, D=0

⇒(6k)2−4(16)(4)=0

⇒36k2−256=0

⇒k2=36256=964

⇒k=±38

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