(x+5)⁴+(x+3)⁴=16 how to solve it

y=x+4(1)

Then we have:

(y−1)4+(y+1)4=16

Expanding binomials, odd powers of y cancel, giving

2y4+12y2+2=16

⟹2y4+12y2−14=0

solve this quadratic in y2 for y2 then take square roots on both sides:

y=±−12±122+4⋅2⋅14−−−−−−−−−−−√4−−−−−−−−−−−−−−−−−−−√

substitute into (1):

x=−4±−12±122+4⋅2⋅14−−−−−−−−−−−√4−−−−−−−−−−−−−−−−−−−√

If you evaluate this for all four ± combinations the two real roots turn out to be −5 and −3.

Step-by-step explanation:

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional