Answer:
Step-by-step explanation:
hello :
z⁴=1+i given : z² = t t is the complex number so : z⁴= (z²)² =t²
solve for t this equation : t² = 1+i
if : t = x+iy t² =(x+iy)² = x²+2xiy+(iy)² =x²-y²+2xyi ...... ( i² = -1)
t² = 1+i means : x²-y²+2xyi = 1+i
you have this system : x²-y² = 1.....(*)
2xy = 1.....(**)
slve for x and y you ca add this equation : ....(***)
( use : t² = 1+i
/t²/ = /1+i/ so :/t/² = /1+i/ .... (√(x²+y²))²=√(1²+1²) =√2 means x²+y² = √2)
the system is : x²-y² = 1.....(*)
2xy = 1.....(**)
x²+y² = √2 ....(***)
add (*) and (***) : 2x²= 1+√2
x² = (√2+1)/2
substrac (*) and (***) you have : y² = (√2-1)/2
use (**) the proudect xy is positif (same sign) so :
x=√( (√2+1)/2) and y = √( (√2-1)/2) so : t1 =√( (√2+1)/2)+i√( (√2-1)/2)
x= -√( (√2+1)/2) and y = -√( (√2-1)/2) so :t2= -t1
same method for equation : z² =t1 ..(2 solution ) and z² = t2..(2 solution )
How can i help you .what is your question
Answer:
-2.75
-1.75
-0.75
0.25
1.25
Step-by-step explanation:
<em>The</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>is</em><em> </em><em>given</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>top</em><em> </em><em>row</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>table</em><em>.</em><em> </em><em>We</em><em> </em><em>can</em><em> </em><em>complete</em><em> </em><em>the</em><em> </em><em>rest</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>table</em><em> </em><em>by</em><em> </em><em>plugging</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>corresponding</em><em> </em><em>values</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>equation</em><em> </em><em>and</em><em> </em><em>solve</em><em> </em><em>for</em><em> </em><em>y</em><em>.</em>
<em>F</em><em>or</em><em> </em><em>example</em><em>:</em>
y = (-2) - 3/4 = -2.75
y = (-1) - 3/4 = -1.75
y = (0) - 3/4 = -0.75
y = (1) - 3/4 = 0.25
y = (2) - 3/4 = 1.25
Answer:
4800m
Step-by-step explanation:
"correct to the nearest 10 meters" means that the height can vary ± 10 meters.
4810 m ± 10 m = 4800 to 4820
4800 is the least possible height.
Answer:
C) The cost increases $2.50 for every additional pair of shoes rented.
Step-by-step explanation:
Notice a pattern. When you buy a new pair of shoes, the total gets increased by $2.50 depending on how many pairs of shoes you buy. For example, starting with 1 pair of shoes, it costs $2.50, but when you buy another pair, the cost is $2.50+$2.50=2*$2.50=$5.00, and so on...
Therefore, the correct choice is C
