xsquare+5x+5 by complete square method
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Answer:
x
2
−5x+5=0
x
2
−5x=−5
(1) Divide the equation by the coefficient of x
2
x
2
−
1
5
x=−
1
5
(2) Add the square of half the coefficient of x , both sides
x
2
−5x+(
2
5
)
2
=−5+(
2
5
)
2
(x−
2
5
)
2
=−5+
4
25
=
4
5
⇒x−
2
5
=±
4
5
=±
2
5
x=
2
5
±
2
5
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