SOLUTION: hi, If 3x^2-2x+7=0, then (x-1/3)^2= Thankyou

Question 165592: hi, If 3x^2-2x+7=0, then (x-1/3)^2=
Thankyou
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Factor out the coefficient . This step is very important: the coefficient must be equal to 1.

Take half of the coefficient to get . In other words, .

Now square to get . In other words,

Now add and subtract inside the parenthesis. Make sure to place this after the "x" term. Notice how . So the expression is not changed.

Group the first three terms.

Factor to get .

Combine like terms.

Distribute.

Multiply.

So after completing the square, transforms to . So .

So is equivalent to .

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Start with the given equation (this equation is the same as the original equation)

Subtract from both sides.

Multiply both sides by

Multiply

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Answer:

So the answer is
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