SOLUTION: Solve each of the following quadratic equations by completing the square. 2x2 + 10x + 11 = 0

Question 115423: Solve each of the following quadratic equations by completing the square.
2x2 + 10x + 11 = 0

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Subtract 11 from both sides
Factor out the leading coefficient 2. This step is important since we want the coefficient to be equal to 1.

Take half of the x coefficient 5 to get
Now square to get

Add this result to the expression inside the parenthesis. Now the expression is a perfect square trinomial. Now add the result (remember we factored out a 2) to the right side.

Factor into

Multiply and 2 to get

Combine like terms on the right side

Divide both sides by 2

Take the square root of both sides

Break up the square root

Take the square root of 4 to get 2

Subtract from both sides to isolate x.

Combine the fractions

So our answer is
or

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