Question

find the roots of the following quadratic equations if they exist by the method of completing the square. (iv) 2x2 + x + 4 = 0​

Answer 1

Answer:

2x  

2

+x+4=0

⇒x  

2

+  

2

x

​

+2=0

    x  

2

+  

2

x

​

=−2

Adding (  

4

1

​

)  

2

 on both sides

⇒x  

2

+  

2

x

​

+(  

4

1

​

)  

2

=−2+(  

4

1

​

)62

⇒(x+  

4

1

​

)  

2

=−2+  

16

1

​

 

⇒(x+  

4

1

​

)  

2

=−  

16

−31

​

Step-by-step explanation: