To find that you would do (such that x is the unknown) 3x+5(x+2)=106
and if you do this you will find that x=12
so the two numbers you are looking for are 12 and 14
Answer:
Third one
Step-by-step explanation:
30x would be 30 times the amount of fish (x)
+ 80y would be 80 times the amount of octopus captured (y)
- 15z would be subtracting 15 times the amount of crabs she captures
3x - 10 = x + 4 <== ur equation
three times a number.....3x...with the x representing the number
ten less....3x - 10
is the same as...means =
that number (x) increased by 4....x + 4
so we have 3x - 10 = x + 4...
3x - 10 = x + 4
3x - x = 4 + 10
2x = 14
x = 14/2
x = 7....and that number is 7
From what this number to solve it
Answer:
B. 4 imaginary; 1 real
Step-by-step explanation:
Given the polynomial:
x^5 + 7*x^4 + 2*x^3 + 14*x^2 + x + 7
it can be reordered as follows
(x^5 + 2*x^3 + x ) + (7*x^4 + 14*x^2 + 7)
Taking greatest common factor at each parenthesis
x*(x^4 + 2*x^2 + 1) + 7*(x^4 + 2*x^2 + 1)
Taking again the greatest common factor
(x + 7)*(x^4 + 2*x^2 + 1)
Replacing x^2 = y in the second parenthesis
(x + 7)*(y^2 + 2*y + 1)
(x + 7)*(y + 1)^2
Coming back to x variable
(x + 7)*(x^2 + 1)^2
There are two options to find the roots
(x + 7) = 0
or
(x^2 + 1)^2 = 0 which is the same that (x^2 + 1) = 0
In the former case, x = -7 is the real root. In the latter, (x^2 + 1) = 0 has no real solution. Therefore, there is only 1 real root in the polynomial.
