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

✔ 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; Use the square root property of equality to get x – 3 = ±.: 4

Question 2

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; Use the square root property of equality to get x – 3 = ±.: 4

Question 3

6X 7✔ 9

Revolt · Accepted Answer

✔ 9

Question 4

✔ x – 3x + 3X x – 6

Revolt · Accepted Answer

✔ x – 3

Question 5

3✔ 4X 7

Revolt · Accepted Answer

✔ 4

Question 6

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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