Find the roots of the equation 5x - 6x - 2 = 0 by the method of completing
the square.
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Answer:
Given quadratic equation is 5x
2
−6x−2=0.
→x
2
−
5
6
x−
5
2
=0 (Divide on both sides by 5)
→x
2
−2(
5
3
)x+
25
9
=
25
9
+
5
2
(add (
5
3
)
2
=
25
9
on both sides)
→(x−
5
3
)
2
=
25
19
→x−
5
3
=±
25
19
(take square root on both sides)
Thus, we have x=
5
3
±
5
19
=
5
3±
19
.
Hence, the solution set is {
5
3+
19
,
5
3−
19
}.
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