Question 1

The nature of the roots of quadratic equation 9𝑥 $^2$ + 16 = 0 is

Accepted Answer

Imaginary

Answer

Real

Answer

Equal

Answer

Irrational

Question 2

If the discriminant is greater than zero (0) and a perfect square, which statement best describes its roots?

Accepted Answer

Two rational roots

Answer

No real roots

Answer

One rational root

Answer

Two irrational roots

Question 3

Describe the discriminant and nature of the roots of 𝑥^{$^2$} +5x + 4 =0.

Accepted Answer

The discriminant is greater than 0 and is a perfect square, the two roots are real and rational

Answer

The discriminant is greater than 0 and is NOT a perfect square, the roots are real and irrational.

Answer

The discriminant is equal to 0, the roots are equal and real .

Answer

The discriminant is less than 0, the roots are non-real.

Question 4

The nature of the roots depends on the value 𝑏2 − 4𝑎𝑐 and it is known as the ______. A

Accepted Answer

Discriminant

Answer

Completing the Square Method

Answer

Square Root

Answer

Quadratic Formula

Question 5

If $^2$ , and perfect square, then the roots of $ax^2+bx+c=0$

Accepted Answer

Rational and Unequal

Answer

Imaginary and Unequal

Answer

Rational and Equal

Answer

Irrational and Unequal

Question 6

If $^2$ , then the nature of roots of $ax^2+bx+c=0$ is __________.

Accepted Answer

only one real root.

Answer

two roots are real, irrational and unequal

Answer

two roots are real, rational and unequal

Answer

two non-real or imaginary and unequal.

Question 7

The nature of the roots of quadratic equation 𝑥2 $^2$ is _______.

Accepted Answer

Two irrational roots

Answer

Two rational roots

Answer

One rational root

Answer

No real roots

Question 8

Determine the value of the discriminant of quadratic equation $^2$

Accepted Answer

1

Answer

36

Answer

4

Answer

25

Question 9

If 𝑏² − 4𝑎𝑐 = 0, then the roots of a𝑥²- bx + c =0 are real and irrational.

Accepted Answer

Never True

Answer

Always True

Answer

Maybe True

Answer

Sometimes True

Question 10

If 𝑏² − 4𝑎𝑐 < 0 , then the roots of a𝑥²- bx + c =0 are non-real or imaginary and unequal.

Accepted Answer

Always True

Answer

Sometimes True

Answer

Never True

Answer

Maybe True

Related quizzes

Related quizzes