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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.
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r eview: completing the square

Feb 22, 2016

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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. r eview: completing the square. r eview: completing the square. Solve . . r eview: completing the square. Solve . . - PowerPoint PPT Presentation
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Page 1: r eview: completing the square

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.

Page 2: r eview: completing the square

review: completing the square

Page 3: r eview: completing the square

review: completing the square

Solve .

Page 4: r eview: completing the square

review: completing the square

Solve . 1. Move away the

constant term.

Page 5: r eview: completing the square

review: completing the square

Solve . 1. Move away the

constant term.

Page 6: r eview: completing the square

review: completing the square

Solve . 1. Move away the

constant term.

Page 7: r eview: completing the square

review: completing the square

Solve . 1. Move away the

constant term.

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

Page 8: r eview: completing the square

review: completing the square

Solve . 1. Move away the

constant term.

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

Page 9: r eview: completing the square

review: completing the square

Solve . 1. Move away the

constant term.

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

Page 10: r eview: completing the square

review: completing the square

Solve . 1. Move away the

constant term.

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

Page 11: r eview: completing the square

review: completing the square

Solve . 1. Move away the

constant term.

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

Page 12: r eview: completing the square

review: completing the square

Solve . 1. Move away the

constant term.

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

Page 13: r eview: completing 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.

Page 14: r eview: completing 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.

Page 15: r eview: completing 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.

Page 16: r eview: completing the 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.

Page 17: r eview: completing the 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.

Page 18: r eview: completing the 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.

Page 19: r eview: completing the 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.

Page 20: r eview: completing the 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.

Page 21: r eview: completing the square

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

Page 22: r eview: completing the square

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

Simplify .

Page 23: r eview: completing the square

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

Simplify .

Page 24: r eview: completing the square

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

Simplify .

Page 25: r eview: completing the square

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

Simplify .

Page 26: r eview: completing the square

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

Simplify .

Page 27: r eview: completing the square

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

Simplify .

Page 28: r eview: completing the square

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

Simplify .

Page 29: r eview: completing the square

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

Simplify .

Page 30: r eview: completing the square

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

Simplify .

Page 31: r eview: completing the square

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

Simplify .

Page 32: r eview: completing the square

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

Simplify .

Page 33: r eview: completing the square

using completing the square with imaginary solutions

Page 34: r eview: completing the 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.

Page 35: r eview: completing the 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.

Page 36: r eview: completing the square

using completing the square with imaginary solutions: an example

Page 37: r eview: completing the square

using completing the square with imaginary solutions: an example

Solve .

Page 38: r eview: completing the square

using completing the square with imaginary solutions: an example

Solve .

Page 39: r eview: completing the square

using completing the square with imaginary solutions: an example

Solve .

Page 40: r eview: completing the square

using completing the square with imaginary solutions: an example

Solve .

Page 41: r eview: completing the square

using completing the square with imaginary solutions: an example

Solve .

Page 42: r eview: completing the square

using completing the square with imaginary solutions: an example

Solve .

Page 43: r eview: completing the square

using completing the square with imaginary solutions: an example

Solve .

Page 44: r eview: completing the square

Solve .

using completing the square with imaginary solutions: an example

Page 45: r eview: completing the square

Solve .

using completing the square with imaginary solutions: an example

Page 46: r eview: completing the square

Solve .

using completing the square with imaginary solutions: an example

Page 47: r eview: completing the square

Solve .

using completing the square with imaginary solutions: an example

Page 48: r eview: completing the square

Solve .

using completing the square with imaginary solutions: an example

Page 49: r eview: completing the square

Solve .

using completing the square with imaginary solutions: an example

Page 50: r eview: completing the square

Solve .

using completing the square with imaginary solutions: an example

Page 51: r eview: completing the square

Solve .

using completing the square with imaginary solutions: an example

Page 52: r eview: completing the square

Solve .

using completing the square with imaginary solutions: an example

Page 53: r eview: completing the square

Solve .

using completing the square with imaginary solutions: an example

Page 54: r eview: completing the square

Solve .

using completing the square with imaginary solutions: an example

Page 55: r eview: completing the square

Solve .

using completing the square with imaginary solutions: an example

Page 56: r eview: completing the square

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