Quiz about 4.7 HW Extra Credit

Question 1

Which of the following is the first step of completing the square?

Accepted Answer

Rewrite as $$ax^2+bx=c$$

Answer

Set the equation = 0

Answer

Factor the perfect square trinomial.

Answer

Divide both sides by a.

Question 2

What is the first step for solving the following quadratic using completing the square?

$$x^2+14x-38=0$$

Accepted Answer

Add 38 to both sides of the equation.

Answer

Half the bx term and square it.

Answer

Find the factors of -38.

Answer

Factor out the GCF.

Question 3

Fill in the number needed to complete the step for solving using completing the square.

$$x^2+6x\ +\ $$ __ = 59 + __

Accepted Answer

9

Answer

3

Answer

6

Answer

36

Question 4

Solve the equation by completing the square.

$$x^2-12x+11=0$$

Accepted Answer

$$x=\left\{1,11\right\}$$

Answer

$$x=\left\{1,12\right\}$$

Answer

$$x=\left\{0,12\right\}$$

Answer

$$x=\left\{2,8\right\}$$

Question 5

Solve the equation by completing the square.

$$a^2+14a-51=0$$

Accepted Answer

$$a=\left\{-17,3\right\}$$

Answer

$$a=3$$

Answer

$$a=\left\{-3,17\right\}$$

Answer

$$a=\left\{1,3\right\}$$

Question 6

Solve the equation by completing the square.

$$x^2-12x+23=0$$

Accepted Answer

$$x=\left\{6\pm\sqrt[]{13}\right\}$$

Answer

$$x=\left\{-7,19\right\}$$

Answer

$$x=\left\{6\pm13i\right\}$$

Answer

$$x=\left\{-6\pm i\ \sqrt[]{13}\right\}$$

Question 7

Solve the equation by completing the square.

$$x^2-4x+1=-5$$

Accepted Answer

$$x=\left\{2\pm i\ \sqrt[]{2}\right\}$$

Answer

$$x=\left\{2\pm i\right\}$$

Answer

$$x=\left\{0,4\right\}$$

Answer

$$x=\left\{-2\pm2i\right\}$$

Question 8

Solve the equation by completing the square.

$$5n^2=60-20n$$

Accepted Answer

$$n=\left\{-6,2\right\}$$

Answer

$$n=\left\{-2\pm4\ \sqrt[]{2}\right\}$$

Answer

$$n=\left\{-2\pm4i\right\}$$

Answer

$$n=\left\{0,4\right\}$$

Question 9

Solve the equation by completing the square.

$$x^2+2x=-20$$

Accepted Answer

$$x=\left\{-1\pm i\ \sqrt[]{19}\right\}$$

Answer

$$x=\left\{-20,18\right\}$$

Answer

$$x=\left\{1\pm\sqrt[]{19}\right\}$$

Answer

$$x=\left\{-1\pm19i\right\}$$

Question 10

Solve the equation by completing the square.

$$a^2-6a=-91$$

Accepted Answer

$$a=\left\{3\pm i\ \sqrt[]{82}\right\}$$

Answer

$$a=\left\{3\pm10i\right\}$$

Answer

$$a=\left\{6\pm2i\ \sqrt[]{41}\right\}$$

Answer

$$a=\left\{3\pm2i\ \sqrt[]{41}\right\}$$

Question 11

Solve the equation by completing the square.

$$n^2=18n+40$$

Accepted Answer

$$n=\left\{-2,\ 20\right\}$$

Answer

$$n=\left\{-9\pm11i\right\}$$

Answer

$$n=\left\{9\pm11i\right\}$$

Answer

$$n=\left\{-20,\ 2\right\}$$

Question 12

Solve the equation by completing the square.

$$5x^2=60-20x$$

Accepted Answer

$$x=\left\{-6,2\right\}$$

Answer

$$x=\left\{\pm4\right\}$$

Answer

$$x=\left\{-2,\ 8\right\}$$

Answer

$$x=\left\{\pm4i\right\}$$

Question 13

What is the first step needed to solve by completing the square.

$$2a^2-8a=-6$$

Accepted Answer

Divide terms on both sides by 2.

Answer

Add 16 to both sides.

Answer

Move the -6 to the left side using addition.

Answer

Add 8 to both sides.

Question 14

Solve the equation by completing the square.

$$6x^2-48=-12x$$

Accepted Answer

$$x=\left\{-4,2\right\}$$

Answer

$$x=\left\{\pm2i\right\}$$

Answer

$$x=\left\{\pm2\right\}$$

Answer

$$x=\left\{-2,\ 6\right\}$$

Question 15

Solve the equation using completing the square.

$$8m^2+16m=42$$

Accepted Answer

$$x=\left\{-\frac{7}{2},\ \frac{3}{2}\right\}$$

Answer

$$x=\left\{-\frac{1}{2},\ \frac{3}{4}\right\}$$

Answer

$$x=\left\{-7,\ 4\right\}$$

Answer

$$x=\left\{\pm\frac{3}{4}\right\}$$

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