(Q4)Solve the equation by completing the square.
(ii)x
2
-5x + 5 = 0
Answer:
Given: x
2
-5x + 5 = 0
x
2
- 5x = -5
x
2
-2.x.
5
2
= -5
x
2
-2.x.
5
2
+ (
5
2
)
2
= -5 +(
5
2
)
2
(x-
)
2
= -5+
25
4
=
-
+25
4
(x -
)
2
=
4
x -
= ± √
4
x =
+
√
2
(or)
-
√
2
Clear