Solving Quadratic Equations by Completing the Square

Solve the following quadratics equation by completing the square...

x² - 10x - 5 = 0

• x = -5 ± √30

• x = 5 ± √30

• x = 30 ± √5

• x = -30 ± √5

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

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

• 8

• 64

• 16

• 4

• 256

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

Tags

CCSS.HSA-REI.B.4B

Kevin wants to solve the equation by completing the square. What values complete the equation?

• 8

• 64

• 16

• 4

• 256

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

Solve: x² - 2x = 3

(just give the POSITIVE answer)

Mathematical Equivalence

OFF

Tags

CCSS.8.EE.A.2

Solve: x² + 14x = 51

(just give the NEGATIVE answer)

Mathematical Equivalence

OFF

Tags

CCSS.HSA-REI.B.4B