Completing the Square

3.3 Completing the Square

Multiple Choice

Solve by factoring: $$x^2+4x-5=0$$
Show your work:

• x = 1 , x = 5

• x = -1 , x = 5

• x = 1 , x = -5

• x = -1 , x = -5

Multiple Choice

Solve using perfect squares: $$x^2+8x+16=0$$

• x = 4

• x = 8

• x = -8

• x = -4

Multiple Choice

Solve using perfect squares: $$x^2-2x+1=0$$

• x = 1

• x = -1

• x = -2

• x = 2

Multiple Choice

Solve the equation using square roots.

• x = -4 , x = -8

• x = 4 , x = -8

• x = -4 , x = 8

• x = 4 , x = 8

Multiple Choice

Solve the equation using square roots.

• x = 4 , x = 2

• x = 4 , x = -2

• x = -4 , x = 2

• x = -4 , x = -2

Multiple Choice

Solve the equation using square roots.

• x = -20 , x = 2

• x = -20 , x = -2

• x = 20 , x = -2

• x = 20 , x = 2

​Complete the square: x² + 8x + c

Multiple Choice

Find the value of c that makes the expression a perfect square trinomial; Then write the expression as the square of a binomial.

• $$c=16;(x+4)^2$$

• $$c=16;(x+16)^2$$

• $$c=64;(x+8)^2$$

• $$c=4;(x+4)^2$$

Multiple Choice

Find the value of c that makes the expression a perfect square trinomial; Then write the expression as the square of a binomial.

• $$c=1;(x+1)^2$$

• $$c=1;(x-1)^2$$

• $$c=-1;(x+1)^2$$

• $$c=-1;(x-1)^2$$

Multiple Choice

Solve the equation by completing the square.

• $$x=2\pm2i$$

• $$x=-2\pm i$$

• $$x=\pm2i$$

• $$x=-2\pm2i$$

Multiple Choice

Solve the equation by completing the square.

• $$x=4\pm2i$$

• $$x=-4\pm i$$

• $$x=\pm4i$$

• $$x=-4\pm2i$$

Multiple Choice

Solve the equation by completing the square.

• $$x=\pm10$$

• $$x=-1\pm\sqrt[]{101}$$

• $$x=1\pm\sqrt[]{101}$$

• $$x=\pm101$$