All Algebra II Resources
Example Questions
Example Question #61 :Completing The Square
Solve forby completing the square.
Start by subtractingfrom both sides so that the terms with theare together on the left side of the equation.
Next, divide everything by the coefficient of theterm.
Now, look at the coefficient of the-term. To complete the square, divide this coefficient by, then square the result. Add this term to both sides of the equation.
Rewrite the left side of the equation in the squared form.
Take the square root of both sides.
Now solve for.
Round to two places after the decimal.
Example Question #62 :Completing The Square
Solve forby completing the square.
Start by addingto both sides so that the terms with theare together on the left side of the equation.
Next, divide everything by the coefficient of theterm.
Now, look at the coefficient of the-term. To complete the square, divide this coefficient by, then square the result. Add this term to both sides of the equation.
Rewrite the left side of the equation in the squared form.
Take the square root of both sides.
Now solve for.
Round to two places after the decimal.
Example Question #63 :Completing The Square
Solve forby completing the square.
Start by addingto both sides so that the terms with theare together on the left side of the equation.
Now, look at the coefficient of the-term. To complete the square, divide this coefficient by, then square the result. Add this term to both sides of the equation.
Rewrite the left side of the equation in the squared form.
Take the square root of both sides.
Now solve for.
Round to two places after the decimal.
Example Question #64 :Completing The Square
Solve forby completing the square.
Start by addingto both sides so that the terms with theare together on the left side of the equation.
Now, look at the coefficient of the-term. To complete the square, divide this coefficient by, then square the result. Add this term to both sides of the equation.
Rewrite the left side of the equation in the squared form.
Take the square root of both sides.
Now solve for.
Round to two places after the decimal.
Example Question #65 :Completing The Square
Solve forby completing the square.
Start by addingto both sides so that the terms with theare together on the left side of the equation.
Next, divide everything by the coefficient of theterm.
Now, look at the coefficient of the-term. To complete the square, divide this coefficient by, then square the result. Add this term to both sides of the equation.
Rewrite the left side of the equation in the squared form.
Take the square root of both sides.
Now solve for.
Round to two places after the decimal.
Example Question #66 :Completing The Square
Solve forby completing the square.
Start by subtractingfrom both sides so that the terms with theare together on the left side of the equation.
Now, look at the coefficient of the-term. To complete the square, divide this coefficient by, then square the result. Add this term to both sides of the equation.
Rewrite the left side of the equation in the squared form.
Take the square root of both sides.
Now solve for.
Round to two places after the decimal.
Example Question #67 :Completing The Square
Solve forby completing the square.
Start by subtractingfrom both sides so that the terms with theare together on the left side of the equation.
Now, look at the coefficient of the-term. To complete the square, divide this coefficient by, then square the result. Add this term to both sides of the equation.
Rewrite the left side of the equation in the squared form.
Take the square root of both sides.
Now solve for.
Round to two places after the decimal.
Example Question #68 :Completing The Square
Solve forby completing the square.
Start by addingto both sides so that the terms with theare together on the left side of the equation.
Next, divide everything by the coefficient of theterm.
Now, look at the coefficient of the-term. To complete the square, divide this coefficient by, then square the result. Add this term to both sides of the equation.
Rewrite the left side of the equation in the squared form.
Take the square root of both sides.
Now solve for.
Round to two places after the decimal.
Example Question #69 :Completing The Square
Solve forby completing the square.
Start by addingto both sides so that the terms with theare together on the left side of the equation.
Next, divide everything by the coefficient of theterm.
Now, look at the coefficient of the-term. To complete the square, divide this coefficient by, then square the result. Add this term to both sides of the equation.
Rewrite the left side of the equation in the squared form.
Take the square root of both sides.
Now solve for.
Round to two places after the decimal.
Example Question #70 :Completing The Square
Which number completes the following square equation:
___
In order to complete the square, you half the middle number and square it.
__________
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