Step-by-step explanation:
z
3
=8(cos216
∘
+isin216
∘
)
z^3=2^3(\cos(6^3)^\circ+i\sin(6^3)^\circ)z
3
=2
3
(cos(6
3
)
∘
+isin(6
3
)
∘
)
\implies z=8^{1/3}\left(\cos\left(\dfrac{216+360k}3\right)^\circ+i\sin\left(\dfrac{216+360k}3\right)^\circ\right)⟹z=8
1/3
(cos(
3
216+360k
)
∘
+isin(
3
216+360k
)
∘
)
where k=0,1,2k=0,1,2 . So the third roots are
\begin{gathered}z=\begin{cases}2(\cos72^\circ+i\sin72^\circ)\\2(\cos192^\circ+i\sin192^\circ)\\2(\cos312^\circ+i\sin312^\circ)\end{cases}\end{gathered}
z=
⎩
⎪
⎪
⎨
⎪
⎪
⎧
2(cos72
∘
+isin72
∘
)
2(cos192
∘
+isin192
∘
)
2(cos312
∘
+isin312
∘
)
Answer:
see below
Step-by-step explanation:
0 = x^2 + 6x – 10
Add 10 to each side
10 = x^2-6x
Take the coefficient of x
-6
Divide by 2
-6/2 =-3
Square it
(-3)^2 =9
Add 9 to each side
10+9 = x^2-6x+9
We use -3 for the square term
19 = (x-3)^2
Take the square root of each side
±sqrt(19) = x-3
Add 3 to each side
3±sqrt(19) = x
Answer:
Uhhh
Step-by-step explanation:
Answer:
It must be the cost of the one table.
Step-by-step explanation:
It's logic. 25x is the cost of the (unknown) number of chairs.
The total Amount he spent is the cost of the chairs <u>plus</u> what he spent on the table.
Answer:
g=24
Step-by-step explanation:
hope this helps :)