Answer:
Constants: 7 and 12
Coefficients: 4
Step-by-step explanation:
A constant is number without a variable next to it, while a coefficient is a number with a variable next to it.
Answer:
2
Step-by-step explanation:
Just replace x^2+4 with a
factor out on left side
(x^2+4)^2+32=12(x^2+4)
replace x^2+4 with a
a^2+32=12a
minus 12a both sides
a^2-12a+32=0
solve
factor
what 2 numbers mulitply to get 32 and add to get -12
-4 and -8
(a-4)(a-8)=0
set each to zero
a-4=0
a=4
a-8=0
a=8
remember
a=x^2+4
so
4=x^2+4
0=x^2
0=x
8=x^2+4
4=x^2
+/-2=x
x=-2, 0, 2
You can solve this via algebra, lets say the numbers are x and y.
x + y = 43 and x - y = 19
You can re-arrange one of the equations to get
x = 43 - y Then substitute this into the other equation, so instead of x you put this:
(43 - y) - y = 19
43 - 2y = 19
-2y = 19 - 43
-2y = -24
-y = -12
so y = 12
then you can do 43 - 12 = 31 to get both of the numbers.
so the numbers are 31 and 12
