Question

if minus 1 by 2 is a solution of equation 3 x ki power 2 + 2 k x minus 3 is equal to zero find the value of k​

Answer 1

Solution: x=-1/2

• 3x^2+2kx-3=0
• 3(-1/2)^2+2k(-1/2)-3=0
• 3(1/4)-2k/2-3=0
• 3/4-k-3=0
• 3/4-k=3
• -k=3-3/4
• -k=12-3/4
• k=-9/4

Hope this will help you....

Answer 2

Answer:

the answer is -9/4

Step-by-step explanation:

p(x)=3x²+2kx-3    ,  given solution is -1/2

p(-1/2)=3(-1/2)²+2k(-1/2)-3

   0      =3(1/4)-2k/2-3

    LCM=4

     0     =3/4-4k/4-12/4

     0     =-4k/4-9/4

     9/4   =-4k/4

     cross multiplication

    9*4=4(-4k)

     36=-16k

      k=-36/16

    ∴the value of k is -9/4

     k=-9/4