Quiz about 5.1-5.3 Quiz: Solving Quadratics & Complex Numbers

Question 1

Which equation has -7 as its only answer?

Accepted Answer

$$0=\left(x+7\right)^2$$

Answer

$$0=x\left(x-7\right)$$

Answer

$$0=\left(x-7\right)^2$$

Answer

$$0=\left(x+1\right)\left(x+7\right)$$

Question 2

What is the solution to $$3x^2=33$$ ?

Accepted Answer

$$\pm\sqrt[]{11}$$

Answer

$$\pm\sqrt[]{3}$$

Answer

11

Answer

121

Question 3

Simplify $$\sqrt[]{-225}$$ .

Accepted Answer

$$15i$$

Answer

$$-15i$$

Answer

$$i\sqrt[]{15}$$

Answer

$$-i\sqrt[]{15}$$

Question 4

Which of the following equations has solutions of $$\pm6i$$

Accepted Answer

$$-\frac{1}{6}x^2=6$$

Answer

$$x^2-30=6$$

Answer

$$\frac{1}{4}x^2=9$$

Answer

$$20-x^2=-16$$

Question 5

Which expression is equivalent to $$\left(2-5i\right)-\left(2+5i\right)$$ ?

Accepted Answer

$$-10i$$

Answer

$$10i$$

Answer

$$4+10i$$

Answer

$$4-10i$$

Question 6

Which expression is equivalent to $$\left(-5+3i\right)^2$$

Accepted Answer

$$16-30i$$

Answer

$$16$$

Answer

$$34-30i$$

Answer

$$34$$

Question 7

Solve $$\left(x-11\right)^2-12=0$$

Accepted Answer

$$11\pm2\sqrt[]{3}$$

Answer

$$-11\pm2\sqrt[]{3}$$

Answer

$$11\pm2i\sqrt[]{3}$$

Answer

$$11+2\sqrt[]{3}$$

Question 8

Solve $$x^2+x=30$$

Accepted Answer

x = 5 or x = -6

Answer

x = 5

Answer

x = -6

Answer

x = -5 or x = 6

5.1-5.3 Quiz: Solving Quadratics & Complex Numbers