Inequality _2. Which of the following is a quadratic equation? A. 2r +4r -1 B.3t - 7 = 2 C. s2+ 5s - 4 = 0 D. 2x - 7x 2 3 3. In the quadratic equation 2x2 + 6x - 3 = 0, which is the quadratic term? В. 6х 4. What number must be added to 4x - 12x to make it a perfect square trinomial? A. x С. 2x D. -3 A. 4 В.9 С. 16 D. 25 5. Which of the following quadratic equations whose roots are -3 and 5? C. x2 + 2x -15 D. x2 - 2x – 15 - A. x + 2x + 15 B. x -2x +15 What are the'roote of

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Related questions
Question
2. Which of the following is a quadratic equation?
Equation
D. Quadratic Inequality
A. 2r +4r -1
B.3t - 7 = 2
3. In the quadratic equation 2x2 + 6x - 3 = 0, which is the quadratic term?
В. 6х
4. What number must be added to 4x - 12x to make it a perfect square trinomial?
C. s+ 5s - 4 = 0
D. 2x - 7x 23
A. x2
С. 2x
D. -3
A. 4
В.9
5. Which of the following quadratic equations whose roots are -3 and 5?
C. 16
D. 25
-
A. x? + 2x + 15
B. x -2x +15
C. x2 + 2x -15
D. x2 - 2x – 15
6. What are the'roots of the quadratic equation x2 - 7x +12 =0?
A. 3 and 4
B. -3 and -4
C. -3 and 4
D. 3 and -4
7. Determine the values of a, b, and c of the quadratic equation 3x2- 4x 8.
c= 8
C= 8
|
C= -8
c= -8
8. What is the nature of the roots of a quadratic equation with discriminant of 10?
A. a= 3,
В. а3 3,
b= 4,
b= -4,
C. a= 3,
D. a= -3,
b= -4,
b= -4,
|
A. Real, rational and equal
B. Real, irrational and not equal
C. Real, rational and not equal
D. No real roots
9. Which of the following could be the discriminant of a quadratic equation with roots that are real, rational and are
-
not equal?
A. -1
В.О
С.7
D. 25
10. Which expression shows the discriminant of the quadratic equation 4x2 - 8x = -21?
-
A. (8)2 - 4(4)(21)
B. (-8) – 4(4)(-21)
C. (-8)2 – 4(4)(21)
D. -(8)2 - 4(4)(21)
A. The roots are not real.
B. The roots are irrational and not equal.
12. What is the discriminant of (x- 2) (x + 4) = 0?
11. What is the nature of the roots of the quadratic equation if the value of its discriminant is zero?
C. The roots are rational and not equal.
D. The roots are rational and equal.
-
В. 8
С. 28
13. Which of the following shows the relationship between the coefficients and the sum of the roots of quadratic
A. -28
D. 36
equation?
A. 2
B. 2
C.
14. Which of the following shows the relationship between the coefficient and the product of the roots of quadratic
D.
a
a
|
equation?
A.
В.
C.
15. Given the quadratic equation 4x2 - 4x + 10 = 0, which mathematical expression shows the sum of the roots?
D.
a
A. )
(-4)
D.
16. What is the product of the roots of the quadratic equation 2x - 2x + 42 =0?.
-10
C.-
10
B.
4
4.
Transcribed Image Text:2. Which of the following is a quadratic equation? Equation D. Quadratic Inequality A. 2r +4r -1 B.3t - 7 = 2 3. In the quadratic equation 2x2 + 6x - 3 = 0, which is the quadratic term? В. 6х 4. What number must be added to 4x - 12x to make it a perfect square trinomial? C. s+ 5s - 4 = 0 D. 2x - 7x 23 A. x2 С. 2x D. -3 A. 4 В.9 5. Which of the following quadratic equations whose roots are -3 and 5? C. 16 D. 25 - A. x? + 2x + 15 B. x -2x +15 C. x2 + 2x -15 D. x2 - 2x – 15 6. What are the'roots of the quadratic equation x2 - 7x +12 =0? A. 3 and 4 B. -3 and -4 C. -3 and 4 D. 3 and -4 7. Determine the values of a, b, and c of the quadratic equation 3x2- 4x 8. c= 8 C= 8 | C= -8 c= -8 8. What is the nature of the roots of a quadratic equation with discriminant of 10? A. a= 3, В. а3 3, b= 4, b= -4, C. a= 3, D. a= -3, b= -4, b= -4, | A. Real, rational and equal B. Real, irrational and not equal C. Real, rational and not equal D. No real roots 9. Which of the following could be the discriminant of a quadratic equation with roots that are real, rational and are - not equal? A. -1 В.О С.7 D. 25 10. Which expression shows the discriminant of the quadratic equation 4x2 - 8x = -21? - A. (8)2 - 4(4)(21) B. (-8) – 4(4)(-21) C. (-8)2 – 4(4)(21) D. -(8)2 - 4(4)(21) A. The roots are not real. B. The roots are irrational and not equal. 12. What is the discriminant of (x- 2) (x + 4) = 0? 11. What is the nature of the roots of the quadratic equation if the value of its discriminant is zero? C. The roots are rational and not equal. D. The roots are rational and equal. - В. 8 С. 28 13. Which of the following shows the relationship between the coefficients and the sum of the roots of quadratic A. -28 D. 36 equation? A. 2 B. 2 C. 14. Which of the following shows the relationship between the coefficient and the product of the roots of quadratic D. a a | equation? A. В. C. 15. Given the quadratic equation 4x2 - 4x + 10 = 0, which mathematical expression shows the sum of the roots? D. a A. ) (-4) D. 16. What is the product of the roots of the quadratic equation 2x - 2x + 42 =0?. -10 C.- 10 B. 4 4.
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