Quadratic Equation Test

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Quadratic Equation Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following equations has –84 as discriminant?

A
2x² + 2x + 11 = 0

B
x² + x + 12 = 0

C
x² – 11x + 2 = 0

D
x² + x + 29 = 0

Solution

Discriminant = b² - 4ac
2x2 + 2x + 11 = 0
D = 4 - 4 x 2 x 11
= 4 - 88 = - 84
Question 2
1 / -0

Which of the following equations has -2 as one of its solutions?

A
(2y + 2)² = 49

B
(3y + 7)² = 64

C
(y + 1)² = 2

D
None of these

Solution

(27 + 2)² = 49

y² - 2 does not satisfy this

(3y + 7)² = 64

y = - 2 does not satisfy this

(y + 1)² = 2

y= -2 does not satisfy this.
Question 3
1 / -0

Which of the following equations has 8 as one of its solutions?

A
(x + 3)² = 36

B
(x - 3)² = 25

C
(x + 4)² = 25

D
(x - 2)² = 16

Solution

(x + 3)² = 36

x = 8 is not a solution

(x - 3)² = 25

x = 8 gives

5² = 25

25 = 25

Hence x = 8 is a solution to this equation.
Question 4
1 / -0

Which of the following equations has 9 as discriminant?

A
x² + 5x + 4 = 0

B
x² + 5x - 4 = 0

C
x² + 4x + 5 = 0

D
x² - 4x - 5 = 0

Solution

x² + 5x + 4 = 0

d = b² - 4ac

25 - 4 (4) 1

= 25 - 16 - 9
Question 5
1 / -0

Which of the following equations has real and equal roots?

A
3x² - 17x + 20 = 0

B
2x² - 3x + 5 = 0

C
9x² - 24x + 16 = 0

D
2x² - x - 15 = 0

Solution

3x² - 17x + 20 = 0 for roots D = 0

D = 289 - 240 = 49

No equal roots.

(2) 2x² - 3x + 5 = 0

D = 9 - 40 = - 31

(3) 9x² - 24x + 16 = 0

d = 576 - 64 x 9

= 576 - 576 = 0
Question 6
1 / -0

Which of the following equations has the solution y = 2?

A
(2y + 1)² = 25

B
(3y - 1)² = 25

C
(2y + 7)²= 121

D
All of the above

Solution

(1) (2y + 1)² = 25

y = 2 satifies this

(2) (3y - 1)²= 25

y = 2 satisfies this

(3) (2y + 7)² = 121

y = 2 satisfies this
Question 7
1 / -0

Which of the following equations has no real roots?

A
x² - 9x + 20 = 0

B
8x² + 14x - 15 = 0

C
4x² - 18x + 20 = 0

D
11x² - 13x + 5 = 0

Solution

For no real roots D < 0
(1) D = 81 - 80 = 1 > 0
(2) 196 - 4 (8) (15) > 0
(3) D = 324 - 320 > 0
(4) D = 169 - 220 < 0
Question 8
1 / -0

What will be the discriminant of the given quadratic equation?

3x² + 5x + 2 = 0

A
25

B
1

C
– 1

D
– 25

Solution

3x² + 5x + 2 = 0

D = 25 - 24 = 1

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Quadratic Equation Test - 1

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Question 1

2x2 + 2x + 11 = 0

x2 + x + 12 = 0

x2 – 11x + 2 = 0

x2 + x + 29 = 0

Solution

Question 2

(2y + 2)2 = 49

(3y + 7)2 = 64

(y + 1)2 = 2

None of these

Solution

Question 3

(x + 3)2 = 36

(x - 3)2 = 25

(x + 4)2 = 25

(x - 2)2 = 16

Solution

Question 4

x2 + 5x + 4 = 0

x2 + 5x - 4 = 0

x2 + 4x + 5 = 0

x2 - 4x - 5 = 0

Solution

Question 5

3x2 - 17x + 20 = 0

2x2 - 3x + 5 = 0

9x2 - 24x + 16 = 0

2x2 - x - 15 = 0

Solution

Question 6

(2y + 1)2 = 25

(3y - 1)2 = 25

(2y + 7)2 = 121

All of the above

Solution

Question 7

x2 - 9x + 20 = 0

8x2 + 14x - 15 = 0

4x2 - 18x + 20 = 0

11x2 - 13x + 5 = 0

Solution

Question 8

25

1

– 1

– 25

Solution

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2x² + 2x + 11 = 0

x² + x + 12 = 0

x² – 11x + 2 = 0

x² + x + 29 = 0

(2y + 2)² = 49

(3y + 7)² = 64

(y + 1)² = 2

(x + 3)² = 36

(x - 3)² = 25

(x + 4)² = 25

(x - 2)² = 16

x² + 5x + 4 = 0

x² + 5x - 4 = 0

x² + 4x + 5 = 0

x² - 4x - 5 = 0

3x² - 17x + 20 = 0

2x² - 3x + 5 = 0

9x² - 24x + 16 = 0

2x² - x - 15 = 0

(2y + 1)² = 25

(3y - 1)² = 25

(2y + 7)²= 121

x² - 9x + 20 = 0

8x² + 14x - 15 = 0

4x² - 18x + 20 = 0

11x² - 13x + 5 = 0