Completing the Square Concepts

To factor it into two binomials

To transform it into a linear equation

To convert it into a perfect square trinomial

To eliminate the constant term

Adding it

Dividing it

Squaring it

Subtracting it

10

25

5

15

Adding the halved value to both sides

Multiplying the halved value by the constant term

Squaring the halved value

Subtracting the halved value from both sides

By subtracting

By halving

By multiplying

By adding

Subtracting a constant from both sides

Adding a constant to both sides

Dividing all terms by the leading coefficient

Multiplying all terms by the leading coefficient

A quadratic with a leading coefficient of 1

A quadratic with no constant term

A quadratic with a leading coefficient greater than 1

A quadratic with a negative leading coefficient

Multiplying both sides by the leading coefficient

Adding the constant term to both sides

Dividing both sides by the constant term

Taking the square root of both sides

4

2

5

3

Three-quarters

One-half

One-quarter

Five-eighths