Problem 1 :
The equation
is true for all values of x ≠ 2/3, where k is a constant. What is the value of k ?
(a) 8 (b) 9 (c) 11 (d) 15
Solution :
So, the value of k is 15.
Problem 2 :
Where a, b and c are constants. What is the value of a + b + c ?
Solution :
Comparing the coefficient of x^{2}, x and constants.
a = 3
b - a = 1 ----(1)
c - b = 2 -----(2)
Applying the value of a in (1), we get
b - 3 = 1
b = 4
Applying the value of b in (2), we get
c - 4 = 2
c = 6
a + b + c = 3+4+6
= 13
So, the answer is 13.
Problem 3 :
In the following find the value of R
Solution :
Comparing constants :
3 = R - 3
R = 3 + 3
R = 6
Alternative way :
So, the value of R is 6.
Problem 4 :
In the equation above, a is a constant and ax − 1 ≠ 1. What is the value of a ?
Solution :
Comparing the coefficients of x, we get
-7 + 8a = 9
8a = 9 + 7
8a = 16
a = 2
Problem 5 :
From the information given below, find the value A.
Solution :
Comparing constants, we get
4 = 1 + A
A = 3
Problem 6 :
In the following, find the value of a.
Solution :
Comparing constants, the value of a is 6.
Problem 7 :
In the following, find the value of A.
Solution :
Comparing the constant terms, we get
10 = 12 - A
A = 12 - 10
A = 2
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM