How do you solve a quadratic equation by completing the square?

How do you solve a quadratic equation by completing the square? For example: x2+4x-8=0

In this lesson you will learn how to solve a quadratic equation by completing the square.

Completing the square x2+4x-8=0 x2+4x-8+8=0+8 x2+4x=8 make a perfect square trinomial x2+4x+4=8+4 (x+2)2=12

Dealing with a leading coefficient that is larger than 1 (or smaller than -1). 2x2+4x-9=0 2(x+1)2=9+2 2x2+4x-9+9=0+9 2(x+1)2=11 2x2+4x=9 2(x2+2x)=9 2(x2+2x+1)=9+2

x2+4x-8=0 x2+4x-8+8=0+8 x2+4x=8 make a perfect square trinomial x2+4x+4=8+4 (x+2)2=12

Now solve. (x+2)2 = 12 (x+2)= 12 x =-2- 12 x =-2+ 12 (x+2)=- 12

In this lesson you have learned to solve a quadratic equation by completing the square.

Solve the equation by completing the square. x2-8x=18

Write an equation that would get you one real number solution?

When would you get one real number solution versus when would you get two real number solutions?

Solve the following equation by completing the square. 2x2+8x=-6 How many solutions would this have after you had completed the square? 4x2+16x16=0

How do you solve a quadratic equation by completing the square?