Question

x^2+3x+1=0 ( by completing square method)X square + 3 X + 1 is equals to zero by completing square method solve ​

Answer 1

Heya!!

x² + 3x + 1 = 0

x² + 2 ( x ) ( 3/2 ) + ( 3/2 )² - ( 3/2 )² +1=0

( x + 3/2 )² - 5/4 = 0

( x + 3/2 )² = 5/4

( x + 3/2 ) = ±√5/2

x = {±√5 - 3 }/2

Answer 2

Answer:

Step-by-step explanation:

x² + 3x + 1 = 0

x² + 2 ( x ) ( 3/2 ) + ( 3/2 )² - ( 3/2 )² +1=0

( x + 3/2 )² - 5/4 = 0

( x + 3/2 )² = 5/4

( x + 3/2 ) = ±√5/2

x = {±√5 - 3 }/2