Question

solve
2x²+x+4=0 by completing the square method​

Answer 1

Step-by-step explanation:

2x²+x+4=0....................(1)

2x²+x+4 = 0..Dividing the abpve equation by 2

2 2 2

x²+x+2=0.................. (2)

2

x²+x+k=(x+a)²

2

x²+x+k=x²+2ax=a²

2

Comparing x²+x = x²+2ax

2

x = 2ax

2

a= 1

4

K= 1.

16

Adding and subtracting 1 on both sides

16

x²+x+ 1 - 1 +2=0

2. 16 16

(x+ 1)² = 1 - 2

( 4) 16

(x+ 1 ) = 38-1

( 4) 16

Taking square root on both sides

x+ 1 =37.

4. 16. Or.

Answer 2

Step-by-step explanation:

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