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
This should be the equation:
n + 4/3n + 5/3n = 90
Answer:
<h2>2(-14x-4y-1) /
-28x-8y-2</h2>
Step-by-step explanation:
2(3x + 12y - 5 - 17x - 16y +4)
the 2 outside the bracket means we need to multiply everything by 2
=
6x+24y-10-34x-32y+8
now put all the like-terms together
6x-34x+24y-32y+8-10
now add them together
=-28x-8y-2
now find the HCF
2
put 2 outside the bracket and then divide every number by 2
2(-14x-4y-1)
this is as simplified it can get
