1. Which of the following is a quadratic equation? a. 2r2 + 4r - 1 = 0 c s? + 5s - 4
1. Which of the following is a quadratic equation? a. 2r2 + 4r - 1 = 0 c s? + 5s - 4
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:9. What do you call the expression b2 -4ac?
a quadratic formula
b discriminarnt
C constant
d. standard form
10. Evaluate the expression b- 4ac given the values of a = 9 b= 0 and c = -4
a 144
b 36
CO
d 16
11. Evaluate the expression b? - 4ac given the values of a= 3, b= 6 and c =-5
a -24
C 24
d 96
12 If the disoriminarit of the equation is zero, then the nature of the roots are
a real arid equal
b. ratiorial but not equal
c. irrational and not equal
d. not real
13 If the discriminant of the equation is negative, then the nature of the roots are
a real and equal
b. rational but not equal
o. irrational and not equal
d not real
14 What is the nature of the roots of the equation x? +12X+ 36=0?
a real and equal
b rational but not equal
c irrational and not equal
d not real
15 What is the nature of the roots of the equation x +2x-3=0?
a real and equal
b. rational but not equal
C irrational and not equal
d not real
Additional Activities
This activity reinforces the skills/knowledge that you have gained from this lesson.
Activity No. 7: Find My Equation!
Given the values of a, b, and o write the quadratic equation in the form of
ax + bx +c = 0 and detemine the nature of its roots.
1) a = 1
b=0
C=-3
2) a= 3
b= -6
C=5
3) a= 1
b=7
C= 9
4) a4
5) a=2
b=-8
Transcribed Image Text:Uf the following quadratic equation us
1. x2 + 9x +20-0
4. 9x2 - 6x = 9
2 x2 + 5x +10%3D0
5. 2x + 6x +3-D0
3. 10x2-4x=8
Assessment
Multiple Choice. Choose the letter of the best answer.
1. Which of the following is a quadratic equation?
a. 2r2 + 4r - 1 = 0
b. 3t – 7= 2
c. s? + 5s - 4
d 2x? -7x23
2 In the quadratic equation 7x + 5x? - 4=0, which is the quadratic term?
d. -4
a 7x
b 5x2
c. 5x
3. Given the equation in # 2, which is the constart term?
b. 7x
a 5x2
C. 4
d -4
4 Write -2x = - 5x? +5 in the form ax? + bx +c =0
a -2x + 5x2 +5 +0
b. 5x2 - 2x + 5 =0
c. 5x? - 2x -5= 0
d 5x2 -5 = 2x
5. In quadratic equation 2x + x-21 = 0, what is the value of b?
d. 2
a -21
b 0
c. 1
6. Given the equation in # 5, what is the value of c?
b. 0
a -21
c.1
d. 2
7. What are the roots of the equation r-9= 0?
b. -9
C. 13
d. 3
a 19
8. What is the root of the equation x2 + 9x = -8?
b. 8 and -1
C -8 and 1
d. -8 and -1
a. 8 and 1
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
