Completing the Square Algebratiles

Complete the Square
x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Complete the square.
x² + 6x + ____

• x² + 6x + 9

• x² + 6x - 36

• x² + 6x + 36

• x² + 6x - 9

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

What do you do to the b value to correctly complete the square?

• square it

• divide it by 2 and square the result

• divide it by 2 and take the square root of the result

• divide it by 2 only

Mathematical Equivalence

ON

x² - 18x + (a)   = (x -​ (b)   )²​

• 81

• 18

• 27

• 9

• 3

• 1

• 36

• + 49

• - 49

• + 36

• - 36

• + 6

• - 6

• + 7

• - 7

Match the following

• (x + 8)²

• x² + 4x + 4 =

• (x - 8)²

• x² - 4x + 4 =

• (x -2)²

• x² - 16x + 64 =

• (x + 4)²

• x² + 8x + 16 =

• (x + 2)²

• x² + 16x + 64 =

Solve for the POSITIVE SOLUTION ONLY of x by completing the square. ROUND to the nearest hundredth (2 decimal places).

Mathematical Equivalence

ON