Answer:
First, find a constant that can help you solve the equation. Note the equal sign, what you do to one side, you do to the other.
Remember, you are trying to do the following, changing: (note that y = constant)
x² - xy + y = (x - y)(x - y)
First, solve for the obvious answer. Plug in 0 to x:
2(0²) - 4(0) = 0
2(0) - 0 = 0
0 - 0 = 0
x = 0 is one of your answer choices.
Solve for the more complicated answer by doing what I put on the top:
2x² - 4x + 0 (+2) = 0 (+2)
2x² - 4x + 2 = 2
Divide 2 from both sides & all terms:
2(x² - 2x + 1) = 2(1)
x² - 2x + 1 = 1
Solve. Remember to set the equation = 0. Subtract 1 from both sides:
x² - 2x + 1 = 1
x² - 2x + 1 (-1) = 1 (-1)
x² - 2x + 0 = 0
x² - 2x = 0
Isolate the -2x. Add 2x to both sides.
x² - 2x (+2x) = 0 (+2x)
x² = 2x
Isolate the variable x. Divide x from both sides.
(x²)/x = (2x)/x
x = 2x/x
x = 2
x = 2 is your other answer choice.
x = 0, 2 is your answer.
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