Solving Quadratic Equations: Completing the Square

Question 1

Question 1

Revolt · Accepted Answer

81952

Question 2

Question 2

Revolt · Accepted Answer

x + 6

Question 3

Question 3

Revolt · Accepted Answer

–10 or –2

Question 4

Question 4

Revolt · Accepted Answer

81956

Question 5

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 6

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 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 – , 15 + }

Question 10

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

Revolt · Accepted Answer

StartFraction negative 5 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction negative 5 + StartRoot 57 EndRoot Over 2 EndFraction

Solving Quadratic Equations: Completing the Square Answers

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