Question

completing square
4x^2+4√3x+3=0​

Answer 1

Answer:

x= -√3/2 , -√3/2

Step-by-step explanation:

4x²+4√3x+3=0

divide the equation by 4,we get

x²+√3x+3/4=0

adding [(1/2)(coefficient of x)²] on both sides

x²+√3x+[(1/2)√3]²+3/4=[(1/2)√3]²

x²+√3x+[√3²/4]+3/4=[√3²/4]

x²+√3x+3/4+3/4=3/4

x²+√3x+3/4=3/4-3/4

x²+√3x+3/4=0

(x+√3/2)²=0

(x+√3/2)(x+√3/2)=0

x+√3/2=0                     x+√3/2=0

x= -√3/2                       x= -√3/2