Solving Quadratic Equations: Completing the Square Assignment

What number would you add to both sides of x2 - 20x = 5 to complete the square?

100

The algebra tiles represent the perfect square trinomial x2 + 10x + c. What is the value of c? c =

25

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

A

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 =

36 chose 2 chose 4

Complete the work shown to answer the question. p2 - 14p - 72 = 0 p2 - 14p = 72 p2 - 14p + 49 = 72 + 49 Which describes the solutions of the equation?

A

Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, square that value, and add the result to both sides. Is Adiya's solution method correct? Explain.

Adiya's method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides.

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

B

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

C

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

D