Solve Quadratic by Completing the Square

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41

• X= 35 or 47

• X = −6 + √41 or  −6 − √41

• X = √35 or √47

Tags

CCSS.HSA-REI.B.4B

Complete the square.
x² + 6x + ____

• x² + 6x + 9

• x² + 6x - 36

• x² + 6x + 36

• x² + 6x - 9

Tags

CCSS.HSA-REI.B.4B

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

• the -4x

• the 9

• the x²

Tags

CCSS.HSA-REI.B.4B

• 
• 
• 
• 

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratic equation by completing the square:

2x² -3x = -4

• 
• 
• 
• 

Tags

CCSS.HSA-REI.B.4B

Complete the square for: v² - 18v + 87 = 7

• (v + 9)² - 1

• (v + 9)² + 1

• (v - 9)² - 1

• (v - 9)² + 1

Tags

CCSS.HSA-REI.B.4B

x² + 10x = -9 Steps to solve by completing the square are:

• Take half of 10 and square it.

• Add 25 to both sides.

• Solve the perfect square trinomial

• Take the square root of both sides

• Solve for x to get a solution.

• Take half of -9 and add to both sides.

• Divide all terms by 10

• Set equal to zero.

Tags

CCSS.HSA-REI.B.4B

x² + 10x = -9
Steps to solve by completing the square are:

• Take half of 10 and square it.

• Add 25 to both sides.

• Solve the perfect square trinomial

• Take the square root of both sides

• Solve for x to get a solution.

• Take half of -9 and add to both sides.

• Divide all terms by 10

• Set equal to zero.

Tags

CCSS.HSA-REI.B.4B

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

Mathematical Equivalence

ON

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B