(b) the range of values of c such that the equation * + I 4 R 4. The equation hx + 3hx +h+k = 0, where h + 0, has two real and equal roots. Express k in terms of h. 5. Given the quadratic equation ax- 5bx +4a = 0, where a and b are constants, has two real %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
icon
Concept explainers
Topic Video
Question
Complete question 4 and 5
Sell Practice 2.5
1. Find the values or range of values of p such that the equation
(a) 9x +p+1 4px has two equal roots,
(b) r+ (2x + 3)x p has two real and different roots,
(c) r+2px + (p-1)(p-3) = 0 has no real roots.
nd the range of values of k if the equation r +k = kr – 3 has two real and different roots.
State the values of k if the equation has two real and equal roots.
3. The quadratic equation r + hx + k 0 has roots of -2 and
(a) the value of h and of k,
find
(b) the range of values ofc such that the equation x + hx + k = c has no real roots.
4. The equation hx + 3hx +h + k = 0, where h + 0, has two real and equal roots. Express k in
terms of h.
5. Given the quadratic equation ax- 5bx + 4a 0, where a and b are constants, has two real
and equal roots, find a : b.
%3D
Intensive Practice 2.2
Scan the QR code or visit bit.ly/2NCIGQQ for the quiz
1. Determine the types of roots for the following quadratic equations.
(b) (x – 2) = 3
(c) 2x + x+ 4 = 0
Transcribed Image Text:Sell Practice 2.5 1. Find the values or range of values of p such that the equation (a) 9x +p+1 4px has two equal roots, (b) r+ (2x + 3)x p has two real and different roots, (c) r+2px + (p-1)(p-3) = 0 has no real roots. nd the range of values of k if the equation r +k = kr – 3 has two real and different roots. State the values of k if the equation has two real and equal roots. 3. The quadratic equation r + hx + k 0 has roots of -2 and (a) the value of h and of k, find (b) the range of values ofc such that the equation x + hx + k = c has no real roots. 4. The equation hx + 3hx +h + k = 0, where h + 0, has two real and equal roots. Express k in terms of h. 5. Given the quadratic equation ax- 5bx + 4a 0, where a and b are constants, has two real and equal roots, find a : b. %3D Intensive Practice 2.2 Scan the QR code or visit bit.ly/2NCIGQQ for the quiz 1. Determine the types of roots for the following quadratic equations. (b) (x – 2) = 3 (c) 2x + x+ 4 = 0
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Sample space, Events, and Basic Rules of Probability
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,