Solving Quadratic Equations: Completing the Square (Continued) Answers

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

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

Sienna is solving the quadratic equation by completing the square.3x2 + 9x – 4 = 0 3x2 + 9x = 4 A(x2 + 3x) = 4

Sunil is solving the quadratic equation by completing the square.6x2 + 24x + 5 = 06x2 + 24x = –5

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

Gio is solving the quadratic equation by completing the square.5x2 + 15x – 4 = 0

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

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

The first few steps in solving the quadratic equation 8x2 + 80x = −5 by completing the square are shown.8x2 + 80x = −58(x2 + 10x) = −58(x2 + 10x + 25) = −5 + ______

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