1. x/x+3 + x+2/x+5 2. x+4/x2+5x+6 • x+3/x2−16
3. 2/x2−9 − 3x/x2−5x+6
4. x+4/x2−5x+6 ÷ x2−16/x+3

Show your work

1. x = √(73)/2 - 9/2 or x = -9/2 - √(73)/2

2. x = (512 2^(1/3) + (18 i √(16303) + 16222)^(2/3))/(6 (9 i √(16303) + 8111)^(1/3)) + 16/3 or x = 16/3 + (256 (-1)^(2/3))/(3 (1/2 (9 i √(16303) + 8111))^(1/3)) - 1/3 ((-1)/2)^(1/3) (9 i √(16303) + 8111)^(1/3) or x = ((-2)^(2/3) (9 i √(16303) + 8111)^(2/3) - 512 (-2)^(1/3))/(6 (9 i √(16303) + 8111)^(1/3)) + 16/3 or x = 1/3 (10 - 3 √(11))^(-1/3) ((-1)^(1/3) (10 - 3 √(11))^(2/3) - (-1)^(2/3)) - 1/3 or x = 1/3 ((-10 - 3 √(11))^(1/3) - (-1)^(1/3) (3 √(11) - 10)^(1/3)) - 1/3 or x = 1/3 (10 - 3 √(11))^(-1/3) (-(10 - 3 √(11))^(2/3) - 1) - 1/3

3. x = 2/5 or x = (i √(3))/2 - 1/2 or x = -(i √(3))/2 - 1/2

4. x = 1/4 + (4 √(54714) + 441)^(1/3)/(4 3^(2/3)) - 61/(4 (12 √(54714) + 1323)^(1/3)) or x = (-(-3)^(1/3) (4 √(54714) + 441)^(2/3) - 61 (-3)^(2/3))/(12 (4 √(54714) + 441)^(1/3)) + 1/4 or x = (61 (-3/(441 + 4 √(54714)))^(1/3) + (-1)^(2/3) (441 + 4 √(54714))^(1/3))/(4 3^(2/3)) + 1/4

Step-by-step explanation:

Too long! I try to add to the comments!

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!