Complete question no. 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Complete question no. 3
1. Find the values or range of values of p such that the equation
(a) 9x² +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.
Self Practice 2.5
State the values of k if the equation has two real and equal roots.
3. The quadratic equation x² + hxr + k = 0 has roots of -2 and 6, find
(a) the value of h and of k,
(b) the range of values of c such that the equation x+ hx + k =c has no real p
1. The equation hr² + 3hx + h + k = 0, where h #0, has two real and equal roots Fr
terms of h.
Given the quadratic equation ax- 5bx + 4a = 0, where a and b are constants, h.
and equal roots, find a : b.
Intensive Practice 2.2
Scan the QR code or visit bit.ly/2nCIGqQ for the quil
2. Find the range of of k if the x² + k = 3 has two real and differen
Transcribed Image Text:1. Find the values or range of values of p such that the equation (a) 9x² +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. Self Practice 2.5 State the values of k if the equation has two real and equal roots. 3. The quadratic equation x² + hxr + k = 0 has roots of -2 and 6, find (a) the value of h and of k, (b) the range of values of c such that the equation x+ hx + k =c has no real p 1. The equation hr² + 3hx + h + k = 0, where h #0, has two real and equal roots Fr terms of h. Given the quadratic equation ax- 5bx + 4a = 0, where a and b are constants, h. and equal roots, find a : b. Intensive Practice 2.2 Scan the QR code or visit bit.ly/2nCIGqQ for the quil 2. Find the range of of k if the x² + k = 3 has two real and differen
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