Question

complating the square of 2x^2+x_6=0​

Answer 1

Answer:

2x

2

+x−6

Completing the square,

⇒x

2

+

2

x

−3=0

⇒x

2

+

2

x

+

16

1

−

16

1

−3=0

⇒(x+

4

1

)

2

−

16

49

=0

⇒(x+

4

1

−

4

7

)(x+

4

1

+

4

7

)=0

⇒(x−

2

3

)(x+2)=0

⇒x=

2

3

,−2

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