SOLUTION: Solve by completeting the square: 3x (squared) - 18x + 24 = 18 (not sure how to get it to type the squared

Question 113450: Solve by completeting the square:

3x (squared) - 18x + 24 = 18 (not sure how to get it to type the squared
Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Subtract 24 from both sides

Factor out the leading coefficient 3. This step is important since we want the coefficient to be equal to 1.

Take half of the x coefficient -6 to get -3 (ie )
Now square -3 to get 9 (ie )

Add this result (9) to the expression inside the parenthesis. Now the expression is a perfect square trinomial. Now add the result (9)(3) (remember we factored out a 3) to the right side.

Factor into (note: if you need help with factoring, check out this solver)

Multiply 9 and 3 to get 27

Combine like terms on the right side

Divide both sides by 3

Take the square root of both sides

Add 3 to both sides to isolate x.

So the expression breaks down to
or

So our answer is approximately
or

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

subtract 24 from both sides

divide both sides by 3

take 1/2 of the coeffecient of x, then square it, then add it to both sides

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answer
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answer
You can check answers by substitution into original equation
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