Solving Quadratic Equations: Completing the Square

Question 1

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

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/c0fdeebe90c65236579ce51b6049acbd.png

Question 2

Question 81952

Revolt · Accepted Answer

81952

Question 3

Solve x2 + 12x = –20 by completing the square.

Revolt · Accepted Answer

Add to both sides of the equation. The value of in this equation is .: 36; Write the left side of the equation as a binomial squared. The left side of the equation becomes ()2.: x + 6; Isolate the variable: x =: –10 or –2

Question 4

x + 3✔ x + 6x + 10x + 12

Revolt · Accepted Answer

✔ x + 6

Question 5

–4 or 4–6 or 62 or 10✔ –10 or –2

Revolt · Accepted Answer

✔ –10 or –2

Question 6

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

Revolt · Accepted Answer

{–11, 3}

Question 7

Which describes the solutions of the equation?

Revolt · Accepted Answer

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

Question 8

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

Revolt · Accepted Answer

{15 – , 15 + }

Question 9

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

Revolt · Accepted Answer

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

Question 10

Solve x2 + 12x = –20 by completing the square.

Revolt · Accepted Answer

✔ 36; Add to both sides of the equation. The value of in this equation is .: 36; Write the left side of the equation as a binomial squared. The left side of the equation becomes ()2.: x + 6; Isolate the variable: x =: –10 or –2

Solving Quadratic Equations: Completing the Square Answers

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