Solve the equation x2+4x+3=0 by completing the square.Drag numbers to the lines to complete the solution to the equation.Step 1: x2+4x+3=0Step 2:(x2+4x+…)+…+3=0Step 3: (x+…)2=Step 4:x+…=±Solution: x= and x=−4−3−2x2+4x+3=0001234
Q. Solve the equation x2+4x+3=0 by completing the square.Drag numbers to the lines to complete the solution to the equation.Step 1: x2+4x+3=0Step 2:(x2+4x+…)+…+3=0Step 3: (x+…)2=Step 4:x+…=±Solution: x= and x=−4−3−2x2+4x+3=0001234
Write Equation: Write the equation. x2+4x+3=0
Move Constant Term: Move the constant term to the other side of the equation.x2+4x=−3
Find Completing Square Number: Find the number to complete the square. To do this, take half of the coefficient of x, which is 4, and square it. (4/2)2=22=4.x2+4x+4=−3+4
Write Left Side Binomial: Write the left side as a squared binomial.(x+2)2=1
Take Square Root: Take the square root of both sides.x+2=±1
Solve for x: Solve for x.x+2=±1x=−2±1
Solution: Solution: x=−2+1 and x=−2−1x=−1 and x=−3