CHARACTERIZING THE NATURE OF ROOTS OF QUADRATIC EQUATION

The discriminant is...

• ax² + bx + c

• b² + 4ac

• b² - 4ac

• b - 4ac

If the discriminant is equal to -7 the roots will be...

• Real, rational & equal

• Real, rational & different

• Real, irrational & different

• Non-real & different

If the discriminant is equal to 0 the roots will be...

• Real, rational & equal

• Real, rational & different

• Real, irrational & different

• Non-real & different

If the discriminant is equal to 49 the roots will be...

• Real, rational & equal

• Real, rational & different

• Real, irrational & different

• Non-real & different

The roots of x² + 3x - 1 = 0 will be

• Real, rational & equal

• Real, rational & different

• Real, irrational & different

• Non-real & different

The roots of 4x² - 1 = 0 will be

• Real, rational & equal

• Real, rational & different

• Real, irrational & different

• Non-real & different

The roots of x² -11x +28 = 0 will be

• Real, rational & equal

• Real, rational & different

• Real, irrational & different

• Non-real & different

In the quadratic formula, the expression  $b^2-4ac$  is called

• Dicriminant

• Numerator

• Divisor

• Denominator

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

If the discriminant of a quadratic equation is  $-8$  , how many real roots will the equation have?

• 2

• 1

• -1

• 0

If a quadratic equation has no real roots the value of the discriminant could be

• $-5$

• $5$

• $0$

• $1$