Lesson 4: Solving Quadratic Equations: Completing the Square

Question 1

Question 1

Revolt · Accepted Answer

25

Question 2

Question 3

Revolt · Accepted Answer

100

Question 3

What number would you add to both sides of x2 + 7x = 4 to complete the square?

Revolt · Accepted Answer

(StartFraction 7 Over 2 EndFraction) squared

Question 4

Solve x2 + 12x = –20 by completing the square. Add to both sides of the equation. The value of in this equation is . Write the left side of the equation as a binomial squared. The left side of the equation becomes ()2. Use the square root property of equality. Isolate the variable: x =

Revolt · Accepted Answer

36; Selection 1: 36; Selection 2: x + 6; Selection 3: –10 or –2

Question 5

x + 3✔ x + 6x + 10x + 12

Revolt · Accepted Answer

x + 6

Question 6

–4 or 4–6 or 62 or 10✔ –10 or –2

Revolt · Accepted Answer

–10 or –2

Question 7

Solve x2 + 8x = 33 by completing the square. Which is the solution set of the equation?

Revolt · Accepted Answer

{–11, 3}

Question 8

Which describes the solutions of the equation?

Revolt · Accepted Answer

Since 7 and 11 are both rational, the sum and difference are rational.

Question 9

What is the solution set of x2 – 10 = 30x?

Revolt · Accepted Answer

{15 – [image 1] , 15 + [image 2] }

Question 10

What are the solutions of x2 = 8 – 5x?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/0b0d9d476104f19a0d8115c0ed133d10.png

Lesson 4: Solving Quadratic Equations: Completing the Square Answers

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