find the roots of x2 -5x +3=0 by the method of perfect square
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Answer:
Correct option is
A
{
2
−3+
5
,
2
−3−
5
}
x
2
+3x+1=0
The 3 will have to be divided by 2 then the result should be squared and the final result is
4
9
. This number will be added and subtracted in the equation on one side.
x
2
+3x+
4
9
−
4
9
+1=0
(x
2
+3x+
4
9
)−
4
9
+1=0
(x+
2
3
)
2
−
4
9
+1=0
(x+
2
3
)
2
−
4
5
=0
(x+
2
3
)
2
=
4
5
Now taking square root on both sides we get,
x+
2
3
=±
2
5
∴ x=−
2
3
±
2
5
∴ x=−
2
3
+
2
5
and x=−
2
3
−
2
5
⇒ x=(
2
−3+
5
,
2
−3−
5
)
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