How do you solve #x^2 + 2x = 3# by completing the square?
Because the sign of the x term is positive, we use the pattern:
Please observe that the left side of equation  now resembles the right side of equation . This means that we can set the middle term of equation  equal to the middle term of equation , to find the value of "a":
Substitute 1 for "a" in equation :
Because we have completed the square, the left side of equation  collapses into a square with
Perform the square root operation on both sides:
Subtract 1 from both sides: