Unit 3 Part 2 Review

$$x=-4+7i\$$ and

$$x=-4-7i$$

$$x=5$$ and $$x=-17$$

$$x=3+i\ \sqrt[]{59}$$ and $$x=3-i\ \sqrt[]{59}$$

$$x=-3+\ \sqrt[]{77}$$ and $$x=-3-\ \sqrt[]{77}$$

$$\pm\frac{2}{3}i$$

$$\pm\frac{3}{2}i$$

$$-\frac{9}{4}$$

$$-\frac{4}{9}$$

The student used the addition property of equality in step 1.

The student used the reflexive property of equality in step 2.

The student factored the left side in step 3.

The student took the square root of both sides of the equation in step 4.

The student used the subtraction property of equality in step 5.

$$\frac{5}{3}$$

$$1$$

$$5$$

$$\frac{1}{3}$$

$$x=\frac{-2\pm\sqrt[]{4-252}}{14}$$

$$x=\frac{-2\pm\left(-\ \sqrt[]{248}\right)}{14}$$

$$x=\frac{-2\pm62i\ \sqrt[]{4}\ }{14}$$

$$x=\frac{-1\pm i\ \sqrt[]{62}}{7}$$

$$x=\frac{-1}{7}\pm\frac{i\ \sqrt[]{62}}{7}$$

$$2\pm i\ \sqrt[]{7}$$

$$2\pm\left(-\ \sqrt[]{7}\right)$$

$$2\pm3i$$

$$2\pm i\ \sqrt[]{13}$$

$$x=\ \frac{8}{5},\ -1$$

$$x=-\frac{8}{5},\ 1$$

$$x=\frac{4}{5},\ -2$$

$$x=5,\ -\frac{8}{5}$$

When n is divided by 4, the remainder is 1.

When n is divided by 4, the remainder is 2.

When n is divided by 4, the remainder is 3.

When n is divided by 4, the remainder is 0.

There is not enough information.