Question

completing Square method
3xsquare+5x+2=0​

Answer 1

Answer:

: 3x²+5x=-2

: 3x² +x = -2/5

: x= -2 / 5*3

: x= -2 / 15 is answer

Answer 2

Answer:

x = -2/3

Step-by-step explanation:

3x² + 5x +2 =0

1.Make sure the coefficient of x² is 1

(3x² + 5x+ 2 =0)÷ 3

⇒x² + (5/3)x +(2/3)= 0

2.Divide the coefficient of x by 2. Square the answer and add it to both sides.

Move (2/3) to the right side of the equation.

x² +(5/3)x + ((5/3)x ÷ 2)² = -2/3 + ((5/3)x ÷ 2)²

3.Simplify the equation

x² + (5/6)x +(5/6)x + (25/36) = (1/36)

x(x+(5/6)) + (5/6)(x+(5/6)) =(1/36)

$\sqrt{(x+(5/6)²} = \sqrt{(1/36)}$

x +(5/6) = (1/6)

⇒ x = -5/6 + 1/6

  x = -4/6 = -2/3