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Lesson: Using Discriminant to Describe the Number and Type of Roots of Quadratic Equations

Question Video: Determining the Number of Real Roots of a Quadratic Equation Using the Discriminant

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Worksheet: Using Discriminant to Describe the Number and Type of Roots of Quadratic Equations • 15 Questions

Q1:

How many real roots does the equation have if and ?

Q2:

How many non-real roots will a quadratic equation have if its discriminant is positive?

Q3:

How many non-real roots will a quadratic equation have if its discriminant is negative?

Q4:

If the discriminant of a quadratic equation is negative, will its complex roots be a conjugate pair?

  • Ano
  • Byes

Q5:

Which is the correct condition for the polynomial with real coefficients to have no non-real roots?

  • A The discriminant is nonnegative.
  • BThe discriminant is an integer.
  • C The discriminant is positive.
  • D The discriminant is negative.
  • E The discriminant is equal to zero.

Q6:

Are the roots of the equation real and different?

  • Ayes
  • Bno

Q7:

Determine the type of the roots of the equation .

  • Acomplex and not real
  • Breal and equal
  • Creal and different

Q8:

Determine the type of the roots of the equation .

  • Areal and equal
  • Bcomplex and not real
  • Creal and different

Q9:

Which of the following describes the roots of the equation ?

  • Acomplex and not real
  • Breal and equal
  • Creal and different

Q10:

Determine the type of the roots of the equation .

  • Acomplex and not real
  • Breal and equal
  • Creal and different

Q11:

Determine whether the roots of the equation are rational or not without solving it.

  • Anot rational
  • Brational

Q12:

Determine the type of the roots of the equation .

  • Areal and different
  • Bcomplex and not real
  • Creal and equal

Q13:

Determine the type of the roots of the equation .

  • Areal and different
  • Bcomplex and not real
  • Creal and equal

Q14:

Determine the type of the roots of the equation .

  • Areal and different
  • Breal and equal
  • Ccomplex and not real

Q15:

Which of the following best describes the roots of the equation ?

  • A two complex roots
  • B one repeated real root
  • C one repeated non-real root
  • D two non-real roots
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