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put this solution on YOUR website!:
Use x^2 + 6x to illustrate your explanation.
:
Write it:
x^2 + 6x + ___ = 0
:
Choose a value that will complete the square, divide the coefficient of x by 2 and square it.
In this problem: 6/2 = 3, squared = 9, so we add 9 to both sides of the equation
x^2 + 6x + 9 = + 9
:
(x + 3)^2 = 9
:
x + 3 = +/-Sqrt(9)
:
x + 3 = +/-3
:
x = -3 + 3
x = 0
and
x = -3 -3
x = -6