Question

4. It is given that the difference between the zeros of 4x^2 - 8kx + 9 is 4 and
k > 0. Then, k = ?
(a)1/2
(b) 3/2
(c)5/2
(d) 7/ 2​

Answer 1

Answer:

k=5/2 option(c)

Step-by-step explanation:

f(x)=4x^2 - 8kx + 9

let the zeros are p and q

then p+q=8k/4=2k

p-q=4

adding we get

2p=2k+4

p=k+2.........................(1)

p-q=4

k+2-q=4

q=k-2...........................(2)

pq=9/4

(k+2)(k-2)=9/4

k²-4=9/4

k²=9/4+16/4

k²=25/4

k=5/2

Answer 2

Answer:

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