Maths-
SAT
Easy

Question

3x2+bx+5=0
For the quadratic equation shown, b is a constant. If the equation has no real solutions, which of the following must be true?

  1. b2<60
  2. b2 >60
  3. b < 0
  4. b > 0

The correct answer is: b2<60


    3x2+bx+5=0
    The roots must be imaginary
    a < 0
    rightwards double arrow b squared minus 4 a c less than 0
    b squared minus 4 left parenthesis 3 right parenthesis left parenthesis 5 right parenthesis less than 0
    b squared minus 60 less than 0
    b squared less than 60

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