Numerical Techniques

NUMERICAL
TECHNIQUES

TABLE OF CONTENTS
QUESTIONS...................................................................................................................................3
REFERENCES................................................................................................................................9

QUESTIONS
2.
a. 3x2-4x-2 = 0
By using the formula,
x=−b ± √ b2−4 ac
2 a (Salas, El-Tantawy and Aljahdaly, 2021)
The degree of the equation is 2 which is the highest power of variable x.
This is why, there can be 2 solutions found or the 2 values of x can be found.
By putting the values of b = -4, a = 3 and c = -2
x = 4 +- √42 – 4*3*-2 / 2*3
= (4 + 2 √10) / 6 or (4 - 2 √10) / 6
b. 4x – 3y = 18 and 5x + 2y = 11
The elimination method can be used for solving this equation and to get the value of x.
There are two linear equations given which means the degree of both the equations is 1.
Elimination method deals in eliminating one of the variables and then finding the value of the
other one by equating the value of the first one in both the equations (Snyder Jr and et.al., 2017).
4x – 3y = 18 (Multiplying it with 2)
5x + 2y = 11 (Multiplying it with 3)
The equations obtained are:
8x – 6y = 36
15x +6y = 33
Eliminating y, we get 23x = 69
x = 3
Putting the value of x = 3 in equation 1,
4*3 – 3y = 18
3