Answer: The value of x is 2
Step-by-step explanation:
I just subtracted from both sides and you get 2 and another way to say this is 5-3 and 3-3
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 )
Answer:
x=-1/7
Step-by-step explanation:
Answer:
![\sqrt[3]{ - 0.125} = \sqrt{ - 1} \times \sqrt[3]{0.125 } \\ = 5i](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20-%200.125%7D%20%20%3D%20%20%5Csqrt%7B%20-%201%7D%20%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B0.125%20%7D%20%20%5C%5C%20%20%3D%205i)
here i equals √-1
Step-by-step explanation:
Answer is 5i
If you have any doubts write in comments box.
HAVE A NICE DAY !
Answer:
postive 12
Step-by-step explanation:
16-4=12
