1. Which of the following is the standard form of quadratic equation? A. a+bx+c = 0, a±0 B. ax + by + C = 0 D. ax? + b + c<0, a±0 2. Which of the following is a quadratic equation in standard form? А. Зх —7 %3 х2 D. -5x? + 5x – 14 = 0 C. a+bx+c > 0, a±0 B. 2 – 7x = 3 С. 2х? + 2х — 4 30 - 3. In the quadratic equation 5 + 5x – 5 = 0, which is the quadratic term? A. 5 В. 5х С. D. -5 4. What is the formula for the product of the roots? В. А. С. D. 5. In the quadratic equation 8 + 9x – 9 = 0, which is the value of b? А. 8 В. 9х С. 9 D. -9
1. Which of the following is the standard form of quadratic equation? A. a+bx+c = 0, a±0 B. ax + by + C = 0 D. ax? + b + c<0, a±0 2. Which of the following is a quadratic equation in standard form? А. Зх —7 %3 х2 D. -5x? + 5x – 14 = 0 C. a+bx+c > 0, a±0 B. 2 – 7x = 3 С. 2х? + 2х — 4 30 - 3. In the quadratic equation 5 + 5x – 5 = 0, which is the quadratic term? A. 5 В. 5х С. D. -5 4. What is the formula for the product of the roots? В. А. С. D. 5. In the quadratic equation 8 + 9x – 9 = 0, which is the value of b? А. 8 В. 9х С. 9 D. -9
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:1. Which of the following is the standard form of quadratic equation?
A. a+bx+c = 0, a±0 B. ax + by + C = 0
D. ax? + b + c<0, a±0
2. Which of the following is a quadratic equation in standard form?
А. Зх —7 %— х2
D. -5x? + 5x – 14 = 0
С. а+bx+c > 0, а-0
В. 2 — 7х 3 3
С. 2х + 2х — 4 %3D0
3. In the quadratic equation 5 + 5x – 5 = 0, which is the quadratic
term?
A. 5
В. 5х
C.
D.
-5
4. What is the formula for the product of the roots?
В.
А.
С.
D.
5. In the quadratic equation 8 + 9x – 9 = 0, which is the value of b?
А. 8
В. 9х
С. 9
D.
-9
6. Which of the following is the quadratic formula?
А.
В. С.
D.
7. What is the nature of roots of the quadratic equation if the d= 23
A. 2 = rational roots
B. 2 irrational & # roots C. 2 rational but
+ root
D. 2 imaginary roots
8. What is the nature of the roots of the quadratic equation if the d
121?
A. 2 = rational roots
B. 2 irrational & + roots C. 2 rational but
+ roots
D. 2 imaginary roots
9. What are the roots of the quadratic equation -7x+6=0 ?
В. -6, 1
А. -6, -1
С. 6, -1
D.
6, 1
10. Find the sum and product of the roots if the equation is 3x² -
12х - 9 %3D 0.
A. 4 & 3
В. -4 & 3
С. 4 & -3
D. -4 & -3
11. What is the discriminant of the quadratic equation 3 - 5x + 4 =
0 ?
A. -73
В. -23
С. 23
D.
73
12. Which of the following quadratic equations has these roots : -2
and 3?
С.+x +6-0
А. - х — 6 %3 0
D. +x - 6 = 0
В. - х+6 %3D0
13. Which of the following quadratic equations can be solved easily
by extracting square roots?
A. - 9x+12 = 0
D. - 3x - 10 = 0
В.+ 7x — 10 %3D0
С.4 - 9 — 0
Transcribed Image Text:14. What are the factors of the quadratic equation - 3x - 10 = 0 ?
В. (х+5)(х-2)
А. (х-5)(х+2)
С. (х+5)(х+2)
D. (x-5) (х-2)
15. What is the sum of the roots of the quadratic equation 2+ 6x –
20 = 0 ?
А. -6
В. -5
С. -4
D. -3
16. Which of the following is the product of (3x – 2) and (
2х - 3) ?
- 13х - 6 — 0 В. 6- 13х + 6— 0
А.
С. 6+13х — 6— 0
%3D
D. +13x +6 = 0
17. Which of the given quadratic equation has the sum, -12 and
the product, -7 ?
A. + 12x + 7 = 0
В. + 12х — 7-0
C. - 12x + 7= 0
D. -12x - 7 = 0
) (2x +
+ 5x + 3.
C. 1 and 3
18. Find the missing terms: ( x+
A. 2 and 3
В. 2 and 2
D. 1 and 2
19. What is the sum of the roots of 2x- + 8x – 10 :
В. -4
0 ?
С. 4
А. -5
D. 5
20. Which of the following factors gives the product of + 5x + 4 ?
В. (х+2)(х+2)
A. (x+1)(x+4)
D. (x-1)(x-4)
C. (x+5)(x+1)
21. One of the roots of 2+ x - 15 = 0 is -3. What is the other
root?
А.
В.
С. -
D. -
22. Determine the equation whose roots are 5 and 12.
А. + 60 х — 17 %3D 0
В. - 17 х+ 60 3D0 С.- 7х + 60 3D 0 D.
+ 17х + 60 %3 0
23. One of the roots of 2 - 3x - 9 = 0 is 3. What is the other root?
А. .
В.
С. -
D.
24. What is the product of the roots of x?
4x + k = 0 if one
of the roots is 7?
А. -21
В. -11
С. 11
D. 21
25. What equation has the roots of 6 and 3 ?
A. +9 x – 18 = 0
В. — 9 х+ 18 %3D0
С.+ 9х + 18 3 0 D.
— 9х — 18 — 0
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