Question

(ii) 2x^2 + x - 4. find the roots of tge given quadratic equation by method of completing the square​

Answer 1

Answer:

The given quadratic equation is

2x

2

+x−4=0

⇒x

2

+

2

x

−2=0

⇒x

2

+

2

x

=2

On adding both sides

16

1

we get

x

2

+

2

x

+

16

1

=2+

16

1

⇒(x+

4

1

)

2

=

16

33

⇒x+

4

1

=±

4

33

⇒x=±

4

33

−

4

1

⇒x=

4

−1−

33

,

4

−1+

33