Quiz about Nature of the Roots

Question 1

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

Accepted Answer

9

Answer

12

Answer

8

Answer

25

Question 2

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

Accepted Answer

169

Answer

89

Answer

49

Answer

25

Question 3

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

Accepted Answer

1

Answer

2

Answer

3

Answer

0

Question 4

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

Accepted Answer

Rational and unequal

Answer

Real and equal

Answer

Irrational and unequal

Answer

Imaginary

Question 5

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

Accepted Answer

Irrational and unequal

Answer

Imaginary

Answer

Real and equal

Answer

Rational and unequal

Question 6

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

Accepted Answer

20

Answer

40

Answer

30

Answer

10

Question 7

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

Accepted Answer

-576

Answer

669

Answer

576

Answer

-265

Question 8

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

Accepted Answer

2

Answer

1

Answer

0

Answer

3

Question 9

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

Accepted Answer

imaginary

Answer

Rational and unequal

Answer

Real and equal

Answer

Irrational and unequal

Question 10

Describe the roots if the the discriminant is equal to 40

Accepted Answer

Irrational and unequal

Answer

Rational and unequal

Answer

Real and equal

Answer

imaginary

Question 11

What is the formula in finding the sum of the roots of the given quadratic equation

Accepted Answer

$$\frac{-b}{a}$$

Answer

$$\frac{b}{a}$$

Answer

$$\frac{c}{a}$$

Answer

$$\frac{-c}{a}$$

Question 12

What is the formula in finding the product of the roots of the given quadratic equation

Accepted Answer

$$\frac{c}{a}$$

Answer

$$\frac{-b}{a}$$

Answer

$$\frac{b}{a}$$

Answer

$$\frac{-c}{a}$$

Question 13

If the given roots are -3 and 1, Find the sum of the roots.

Accepted Answer

$$-2$$

Answer

$$4$$

Answer

-3

Answer

-4

Question 14

Find the equation if the sum of the roots is 6 and the product is 8

Accepted Answer

$$x^2-6x\ +8\ =0$$

Answer

$$x^2+6x\ -8\ =\ 0$$

Answer

$$x^2-4x+\ 8\ =\ 0$$

Answer

$$x^2+4x+8\ =\ 0$$

Question 15

Find the sum and the product of the roots of the quadratic equation $$x^2-6x\ -\ 27\ =\ 0$$ .

Accepted Answer

6 and -27

Answer

6 and 27

Answer

-6 and -27

Answer

-6 and 27

Nature of the Roots

15 questions

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

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

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

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

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

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

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

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

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

Describe the roots if the the discriminant is equal to 40

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Nature of the Roots

15 questions

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

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

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

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

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

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

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

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

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

Describe the roots if the the discriminant is equal to 40

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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

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

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

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

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

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