SOLUTION: Put {{{x=5y^2-25y+60}}} in the form {{{x=a(y-k)^2+h}}}

Question 152795This question is from textbook Algebra 2 Texas
: Put in the form This question is from textbook Algebra 2 Texas

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 "y" 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 .

This means that the equation is in the form where , , and

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