Quadratic Formula and Discriminant

Which is the correct formula for the discriminant?

If the discriminant of a quadratic is -106 then there are ​​ (a)   real solution(s).

• One
• Two
• No

If the discriminant of a quadratic is 47 then there are ​ (a)   real solution(s).

• Two
• One
• No

If the discriminant of a quadratic is 0 then there exists ​ (a)   real solution(s).

• One
• No
• Two

• Discriminant: 0

  1 real solution

• Discriminant: -72

  No real solution

• Discriminant: 0

  No real solution

• Discriminant: 1296

  2 Real Solutions

• Discriminant: 0

  1 real solution

• Discriminant: -47

  No real solution

• Discriminant: -65

  No real solution

• Discriminant: 65

  2 Real Solutions

• Discriminant: 0

  1 real solution

• Discriminant: -24

  No real solution

• Discriminant: 116

  2 real solution

• Discriminant: 84

  2 Real Solutions

Which is the correct quadratic equation?

• x = 0

• x = -6

• x = 6

• No Real Solutions

• x = 16

• x = -2 and x = -6

• x = 4 and x = -4

• x = 2 and x = 6