SOLUTION: Put the equation 5x^2-10x-2 in turning point form a(x-h)^2+k, by completing the square.

Question 276999: Put the equation 5x^2-10x-2 in turning point form a(x-h)^2+k, by completing the square.
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 .

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