16 Consider the equation of the second degree in x : 4x - 6r -1 =0. P Without calculating the discriminant, prove that it admits two distinct roots x1 and X2 in R. 2 Without calculating x and 2. find in terms of the sum S and the product P of the roots, the expression E. then find the numerical value of E in each of the following cases : a E= b) E= c) E=(2x-3x3) (2x-3x)).
16 Consider the equation of the second degree in x : 4x - 6r -1 =0. P Without calculating the discriminant, prove that it admits two distinct roots x1 and X2 in R. 2 Without calculating x and 2. find in terms of the sum S and the product P of the roots, the expression E. then find the numerical value of E in each of the following cases : a E= b) E= c) E=(2x-3x3) (2x-3x)).
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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Exercise 16
Transcribed Image Text:15 In the equation r-8r + m 0. calculate m so that the roots x, and x. when
4° 주+-100
%3D
3°
X1
= 3
X2
2 x
19 1 Solve
2 Deduce the
16 Consider the equation of the second degree in x : 4x - 6x - 1 = 0.
20 Given t
I Without calculating the discriminant, prove that it admits two distinct roots x, and x, in R.
real parameter
2 Without calculating x, and x,, find in terms of the sum S and the product P of the roots, the
1° Calculate
expression E. then find the numerical value of E in each of the following cases :
2 Calculate
a E=
b) E= +
c) E=(2x-3x) (2x2-3x,).
3° Can thes
2+1
17
Answer by True or False with justification.
21 Sol
1 The trinomial 2(3x-1 has a zero discriminant.
Deduce
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