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!