1.

If one of the zeros of the quadratic polynomial (K - 1) x^2 + kx + 1 is -4 then the value of k is

Answer»

Answer:

15 / 12 = 5 / 4

Step-by-step explanation:

 GIVEN,

 One of the zeroes of the given EQ. is - 4.

It means when x = - 4, condition the eq. = 0 is true.

 ⇒ ( k - 1 )( - 4 )^2 + k( - 4 ) + 1 = 0  

 ⇒ ( k - 1 )16 + k( - 4 ) + 1 = 0

⇒ 16k - 16 - 4k + 1 = 0

 ⇒ 16k - 4k - 16 + 1 = 0

 ⇒ 12k - 15 = 0

 ⇒ 12k = 15

 ⇒ k = 15 / 12



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