## Estimate root of given equations, Mathematics

Assignment Help:

The positive value of k for which x2 +Kx +64 = 0 & x2 - 8x + k = 0 will have real roots .

Ans: x2 + Kx + 64 = 0

⇒ b2 -4ac > 0

K2 - 256 > 0

K > 16 or K < - 16                        ...............(1)

x2 - 8x + K = 0

64 - 4K > 0

⇒ 4K < 64

K < 16                                       ...............(2) From (1) & (2)  K = 16

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