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:
x=2
Step-by-step explanation:
y=2(2)-1
=4-1
=3
y=-5(2)+13
=-10+13
=3
shelly sews a blanket that has an area of 170 square feet. it has 30 square blocks each the same size
30 square blocks of same size. We need to find the area of each square block. so we divide 30 from the total are 170
The area of each square = 5.66667 square feet
We know area of square = side ^2
side ^2 = 5.66667
To find side , take square root on both sides
The side of the square of each block = 2 feet
To convert the equation, I believe 3,6,7 are now 9.69..., 63.43..., 43.78...
9.69r+63.43(unknown symbol)+43.78(unknown symbol)
Hope this helps you out!
