7.5B Notes - Completing the Square

• x^2 - 2x = 5/4
• x^2 - 2x = 3/4
• x^2 - 2x = 1/2
• x^2 - 2x = 2

What steps will we need to follow to finish solving this equation?

Step 1: ​ (a)  

Step 2: ​ (b)   ​

Step 3: ​ (c)  

Step 4: ​ (d)  

• Determine what needs to be added to each side.
• Rewrite the left side of the equation using ( )^2
• Take the square root of each side.
• Add 1 to each side.

• x = 1, x = -2
• x = 3, x = -1
• x = 0, x = 4
• x = 5/2, -1/2

After adding 30 to each side, what will I need to do next?

​ (a)  

• Divide everything by 10.
• Determine what to add to each side.

• x = 0, x = 3
• x = 1, x = -3
• x = 2, x = -1
• x = 4, x = -2