Answer:
x³ - (√2)x² + 49x - 49√2
Step-by-step explanation:
If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.
x = -7i is one root,
(x + 7i) = 0 is the factor
x = 7i is one root
(x - 7i) = 0 is the factor
x = √2 is one root
(x - √2) = 0 is the factor
So the factors are...
(x + 7i)(x - 7i)(x - √2) = 0
Multiply these out to find the polynomial...
(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²
Which simplifies to
x² - 49i² since i² = -1 , we have
x² - 49(-1)
x² + 49
Now we have...
(x² + 49)(x - √2) = 0
Now foil this out...
x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0
x³ + (√2)x² + 49x - 49√2
Answer:
Mr body took 9 blue pills
Step-by-step explanation:
Total number of pills consumed = 17
Number of blue pills, b = 11
Number of blue pills, b = g + 3
So that,
b = g + 3
11 = g + 3
g = 8
Total number of pills recommended = b + g
= 11 + 8
= 19
Total number of pills consumed = 17
Thus,
Number of blue pills consumed = 17 - 8
= 9
Therefore, Mr body took 9 blue pills.
Answer:
-9x+16
Step-by-step explanation:
-3x+7+-6x+9=-9x+16
-3-6= (tecnectly adding but put negative sign with ur answer!)
7+9=16
Put together and Done!
Hope helps :D
<span>Cross multiply:
2 * n = 5 * 12
Simplifying
2 * n = 5 * 12
Multiply 5 * 12
2n = 60
Solving
2n = 60
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Divide each side by '2'.
n = 30
Simplifying
n = 30</span>