In this lesson, you will learn to solve any equation of the form (with real coefficients), including equations with imaginary solutions, by completing the square.

review: completing the square

review: completing the square

Solve .

review: completing the square

Solve . 1. Move away the

constant term.

review: completing the square

Solve . 1. Move away the

constant term.

review: completing the square

Solve . 1. Move away the

constant term.

review: completing the square

Solve . 1. Move away the

constant term.

2. Add a number to both sides to complete the square.

review: completing the square

Solve . 1. Move away the

constant term.

2. Add a number to both sides to complete the square.

review: completing the square

Solve . 1. Move away the

constant term.

2. Add a number to both sides to complete the square.

review: completing the square

Solve . 1. Move away the

constant term.

2. Add a number to both sides to complete the square.

review: completing the square

Solve . 1. Move away the

constant term.

2. Add a number to both sides to complete the square.

review: completing the square

Solve . 1. Move away the

constant term.

2. Add a number to both sides to complete the square.

review: completing the square

Solve . 1. Move away the

constant term.

2. Add a number to both sides to complete the square.

Take 8.Divide by 2.Square.

review: completing the square

Solve . 1. Move away the

constant term.

2. Add a number to both sides to complete the square.

Take 8.Divide by 2.Square.

review: completing the square

Solve . 1. Move away the

constant term.

2. Add a number to both sides to complete the square.

Take 8.Divide by 2.Square.

review: completing the square

Solve . 1. Move away the

constant term.

2. Add a number to both sides to complete the square.

3. Factor, square root, and isolate .

Take 8.Divide by 2.Square.

review: completing the square

Solve . 1. Move away the

constant term.

2. Add a number to both sides to complete the square.

3. Factor, square root, and isolate .

Take 8.Divide by 2.Square.

review: completing the square

Solve . 1. Move away the

constant term.

2. Add a number to both sides to complete the square.

3. Factor, square root, and isolate .

Take 8.Divide by 2.Square.

review: completing the square

Solve . 1. Move away the

constant term.

2. Add a number to both sides to complete the square.

3. Factor, square root, and isolate .

Take 8.Divide by 2.Square.

review: completing the square

Solve . 1. Move away the

constant term.

2. Add a number to both sides to complete the square.

3. Factor, square root, and isolate .

Take 8.Divide by 2.Square.

review: writing the square root of a negative number in terms of

review: writing the square root of a negative number in terms of

Simplify .

review: writing the square root of a negative number in terms of

Simplify .

review: writing the square root of a negative number in terms of

Simplify .

review: writing the square root of a negative number in terms of

Simplify .

review: writing the square root of a negative number in terms of

Simplify .

review: writing the square root of a negative number in terms of

Simplify .

review: writing the square root of a negative number in terms of

Simplify .

review: writing the square root of a negative number in terms of

Simplify .

review: writing the square root of a negative number in terms of

Simplify .

review: writing the square root of a negative number in terms of

Simplify .

review: writing the square root of a negative number in terms of

Simplify .

using completing the square with imaginary solutions

using completing the square with imaginary solutions

Solve . 1. Move away the

constant term.

2. Add a number to both sides to complete the square.

3. Factor, square root, and isolate .

Take 8.Divide by 2.Square.

using completing the square with imaginary solutions

Solve . 1. Move away the

constant term.

2. Add a number to both sides to complete the square.

3. Factor, square root, and isolate .

Take 8.Divide by 2.Square.

using completing the square with imaginary solutions: an example

using completing the square with imaginary solutions: an example

Solve .

using completing the square with imaginary solutions: an example

Solve .

using completing the square with imaginary solutions: an example

Solve .

using completing the square with imaginary solutions: an example

Solve .

using completing the square with imaginary solutions: an example

Solve .

using completing the square with imaginary solutions: an example

Solve .

using completing the square with imaginary solutions: an example

Solve .

Solve .

using completing the square with imaginary solutions: an example

Solve .

using completing the square with imaginary solutions: an example

Solve .

using completing the square with imaginary solutions: an example

Solve .

using completing the square with imaginary solutions: an example

Solve .

using completing the square with imaginary solutions: an example

Solve .

using completing the square with imaginary solutions: an example

Solve .

using completing the square with imaginary solutions: an example

Solve .

using completing the square with imaginary solutions: an example

Solve .

using completing the square with imaginary solutions: an example

Solve .

using completing the square with imaginary solutions: an example

Solve .

using completing the square with imaginary solutions: an example

Solve .

using completing the square with imaginary solutions: an example

Now you know how to solve any equation of the form by completing the square!