Solving Quadratic Equations: Completing the Square

Question 1

Complete each statement in the steps to solve x2 – 6x – 7 = 0 using the process of completing the square.

Revolt · Accepted Answer

Isolate the constant by both sides of the equation.: adding 7 to; Add to both sides of x2 – 6x = 7 to form a perfect square trinomial while keeping the equation balanced.: 9; Write the trinomial x2 – 6x + 9 as squared.: x – 3

Question 2

Complete each statement in the steps to solve x2 – 6x – 7 = 0 using the process of completing the square.

Revolt · Accepted Answer

✔ adding 7 to; Isolate the constant by both sides of the equation.: adding 7 to; Add to both sides of x2 – 6x = 7 to form a perfect square trinomial while keeping the equation balanced.: 9; Write the trinomial x2 – 6x + 9 as squared.: x – 3

Question 3

6X 7✔ 9

Revolt · Accepted Answer

✔ 9

Question 4

✔ x – 3x + 3x – 6

Revolt · Accepted Answer

✔ x – 3

Question 5

⇒ 9/4

Revolt · Accepted Answer

9/4

Question 6

Which is a solution of x2 – x – StartFraction 3 Over 4 EndFraction = 0?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/cba720841199a2ade067f8819eb7c607.png

Question 7

Which describes the solutions of the equation?

Revolt · Accepted Answer

Since –2 is rational and is irrational, the sum and difference are irrational.

Solving Quadratic Equations: Completing the Square Answers

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