Nature of the Roots

Given the equation x²+ 5x + 4 = 0, find the value of b²- 4ac.

• 12

• 8

• 9

• 25

Tags

CCSS.HSA-REI.B.4B

What is the value of the discriminant of the equation 2x²+x - 21= 0?

• 169

• 89

• 49

• 25

Tags

CCSS.HSA-REI.B.4B

If b²- 4ac is equal to 0, how many solutions are there?

• 2

• 3

• 1

• 0

Tags

CCSS.HSA-REI.B.4B

If the discriminant is a perfect square, the nature of the roots is:

• Rational and unequal

• Real and equal

• Irrational and unequal

• Imaginary

Tags

CCSS.HSA-REI.B.4B

What is the nature of the roots of the equation x²-2x - 2 = 0?

• Imaginary

• Irrational and unequal

• Real and equal

• Rational and unequal

Tags

CCSS.HSA-REI.B.4B

Find the value of the discriminant of the equation x²-2x - 2 = 0?

• 40

• 30

• 20

• 10

Tags

CCSS.HSA-REI.B.4B

What is the value of the discriminant of the equation 9x²+16 = 0?

• 669

• 576

• -265

• -576

Tags

CCSS.HSA-REI.B.4B

If the value of the discriminant is 64, how many solutions does it have?

• 2

• 1

• 0

• 3

Tags

CCSS.HSA-REI.B.4B

Describe the roots if the value of the discriminant is equal to negative.

• Rational and unequal

• Real and equal

• Irrational and unequal

• imaginary

Tags

CCSS.HSA-REI.B.4B

Describe the roots if the the discriminant is equal to 40

• Rational and unequal

• Real and equal

• Irrational and unequal

• imaginary

Tags

CCSS.HSA-REI.B.4B