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Solve the equation 
x^(2)+4x+3=0 by completing the square.
Drag numbers to the lines to complete the solution to the equation.
Step 1: 
x^(2)+4x+3=0
Step 
2:(x^(2)+4x+dots)+dots+3=0
Step 3: 
(x+dots)^(2)=
Step 
4:x+dots=+-
Solution: 
x= and 
x=

-4

-3

-2

-1
0
1
2
3
4

Solve the equation x2+4x+3=0 x^{2}+4 x+3=0 by completing the square.\newlineDrag numbers to the lines to complete the solution to the equation.\newlineStep 11: x2+4x+3=0 x^{2}+4 x+3=0 \newlineStep 2:(x2+4x+)++3=0 2:\left(x^{2}+4 x+\ldots\right)+\ldots+3=0 \newlineStep 33: (x+)2= (x+\ldots)^{2}= \newlineStep 4:x+=± 4: x+\ldots= \pm \newlineSolution: x= x= and x= x= \newline4 -4 \newline3 -3 \newline2 -2 \newlinex2+4x+3=0 x^{2}+4 x+3=0 00\newline00\newline11\newline22\newline33\newline44

Full solution

Q. Solve the equation x2+4x+3=0 x^{2}+4 x+3=0 by completing the square.\newlineDrag numbers to the lines to complete the solution to the equation.\newlineStep 11: x2+4x+3=0 x^{2}+4 x+3=0 \newlineStep 2:(x2+4x+)++3=0 2:\left(x^{2}+4 x+\ldots\right)+\ldots+3=0 \newlineStep 33: (x+)2= (x+\ldots)^{2}= \newlineStep 4:x+=± 4: x+\ldots= \pm \newlineSolution: x= x= and x= x= \newline4 -4 \newline3 -3 \newline2 -2 \newlinex2+4x+3=0 x^{2}+4 x+3=0 00\newline00\newline11\newline22\newline33\newline44
  1. Write Equation: Write the equation. x2+4x+3=0x^2 + 4x + 3 = 0
  2. Move Constant Term: Move the constant term to the other side of the equation.\newlinex2+4x=3x^2 + 4x = -3
  3. Find Completing Square Number: Find the number to complete the square. To do this, take half of the coefficient of xx, which is 44, and square it. (4/2)2=22=4(4/2)^2 = 2^2 = 4.\newlinex2+4x+4=3+4x^2 + 4x + 4 = -3 + 4
  4. Write Left Side Binomial: Write the left side as a squared binomial.\newline(x+2)2=1(x + 2)^2 = 1
  5. Take Square Root: Take the square root of both sides.\newlinex+2=±1x + 2 = \pm\sqrt{1}
  6. Solve for x: Solve for x.\newlinex+2=±1x + 2 = \pm 1\newlinex=2±1x = -2 \pm 1
  7. Solution: Solution: \newlinex=2+1x = -2 + 1 and x=21x = -2 - 1\newlinex=1x = -1 and x=3x = -3