Answer:
Option b which is [tex]2x^2+6x+3=0[/tex]
Step-by-step explanation:
We have been given the discriminant 12
We have to choose the equation which will satisfy the given discriminant.
We will consider all the given equation one by one
First we will take option a which is [tex]-x^2+8x+2=0[/tex]
Discriminant from the equation we will find by the formula
[tex]D=b^2-4ac[/tex]
Here, a=-1,b=8 and c=2 on substituting the values we will get
[tex]D=8^2-4(-1)(2)=72[/tex]
Hence, option a is incorrect.
Now, we will consider option b which is [tex]2x^2+6x+3=0[/tex]
Here, a=2,b=6 and c=3 on substituting the values we get
[tex]D=(6)^2-4(2)(3)=12[/tex]
Hence, option b is correct
Therefore, option b is the required answer.
