(Q1)Find the roots of the equation 5x2- 6x - 2 = 0 by the method of completing the square.

Answer:

Given: 5x2 - 6x - 2 = 0

Now we follow the Alogarithm

Step-1: x2-
6
5
x -
2
5
 = 0 (Dividing both sides by 5)
Step-2: x2-
6
5
x=
2
5
Adding(
3
5
)2 to both sides
Step-3: x2 -
6
5
x +(
3
5
)2 =
2
5
+ (
3
5
)2
Step-4: (x -
5
)2 =
2
5
 +
25
Step-5: (x -
5
)2 =
25
x -
5
 = √
25
x =
5
 +
√
5
 or x =
5
 -
√
5
x =
+ √
5
 or x =
- √
5