Nature of roots of an equation x2+5x+1=0 are ____________.
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Answer:
1) Commencing completing the square method
method,
x
2
−
5
x
+
1
=
0
Subtract 1 on both sides,
x
2
−
5
x
=
−
1
Add 6.25 on both sides,
x
2
−
5
x
+
6.25
=
−
1
+
6.25
Apply perfect quadratic square formula,
(
x
−
2.5
)
2
=
5.25
Square root both sides,
x
−
2.5
=
±
√
5.25
Add 2.5 to both sides,
x
=
±
√
5.25
+
2.5
Hence,
x
=
4.79128784
or
0.20871215
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