Solving Quadratic Equations by Completing the Square

Solve the following quadratics equation by completing the square... x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}

• {-6 + √13, -6 - √13}

• {6 + √59, 6 - √59}

• {-6 + √59, -6 - √59}

Tags

CCSS.HSA-REI.B.4B

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract the 21

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

Lori is completing the square to solve the quadratic equation. Which equation is the result of correctly completing the square?​

Tags

CCSS.HSA-REI.B.4B

Complete the Square and solve the equation.
m² - 16m = -59

• 8

• 8 ± √ 5

•  ± √ 13

• -8 ± √ 5

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:

​ (a)  

​ (b)  

​ (c)  

​ (d)  

​ ​ (e)  

• 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