Solving Quadratic Equations: Completing the Square (Continued) Answers

Atraeus is solving the quadratic equation by completing the square.7x2 – 14x + 6 = 0 7x2 – 14x = –6 A(x2 – 2x) = –6

Yvonne is solving the quadratic equation 6x2 + 24x + 7 = 0 by completing the square. Her first four steps are shown in the table.

What are the zeros of the quadratic function f(x) = 6x2 + 12x – 7?

Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.

Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options.8(x2 + 2x + 1) = –3 + 8x = –1 x = –1 8(x2 + 2x + 1) = 3 + 18(x2 + 2x) = –3

The first few steps in solving the quadratic equation 9x2 + 49x = 22 − 5x by completing the square are shown.9x2 + 49x = 22 − 5x9x2 + 54x = 229(x2 + 6x) = 22

Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options.2(x2 + 6x + 9) = 3 + 182(x2 + 6x) = –32(x2 + 6x) = 3x + 3 = 2(x2 + 6x + 9) = –3 + 9

Lie is solving the quadratic equation by completing the square.3x2 + 18x – 8 = 0 3x2 + 18x = 8

What are the zeros of the quadratic function f(x) = 8x2 – 16x – 15?

Maya is solving the quadratic equation by completing the square.4x2 + 16x + 3 = 0