Question

solve x square minus root 3 + 1 X + root 3 is equal to zero by the method of completing square​

Answer 1

Answer:

We have,

x 2 −( 3 +1)x+ 3 =0

⇒x 2 −(3 +1)x=− 3

⇒x 2 −2( 23 +1 )x+( 23 +1 ) 2=− 3 +( 23 +1) 2

⇒(x− 23 +1 ) 2 = 4-4 3 +( 3 +1) 2

⇒(x− 23 +1 )2 =( 23−1 ) 2

⇒x− 23 +1 =± 23 −1

⇒x= 23 +1 ± 23 −1

⇒x= 3 ,1Hence, the roots are 3 and 1.

hope it helps