Solving Quadratic Equations by Completing the Squares

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

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.
y² + 10y = -9

• 1 and -12

• -1 and -9

• 1 and -9

• 1 and -1

Tags

CCSS.HSA-REI.B.4B

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

• 8

• 64

• 16

• 4

• 256

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

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• 
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Tags

CCSS.HSA-REI.B.4B

Mathematical Equivalence

ON

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