Answer:
Step-by-step explanation:
-5/4
Answer: complex equations has n number of solutions, been n the equation degree. In this case:
Step-by-step explanation:
I start with a variable substitution:
Then:
Solving the quadratic equation:
Replacing for the original variable:
or
Remembering that complex numbers can be written as:
Using this:
Solving for the modulus and the angle:
The possible angle respond to:
Been "RAng" the resultant angle, "Ang" the original angle, "n" the degree of the root and "i" a value between 1 and "n"
In this case n=4 with 2 different angles: Ang = 45º and Ang = 315º
Obtaining 8 different angles, therefore 8 different solutions.
21 sets of nachos =£52.50
56 drinks = £28
= 77 in total =£80.50
Answer:
x = 6 ; y = -9
Step-by-step explanation:
8 x + 2 y = 30 ..........equ No 1
7 x + 2 y = 24......... equ No 2
8 x = 30 - 2y
∴ x =
substituting the value of x in equ No 2
7 + 2 y = 24
7 ( 30 -2 y) + 2 y × 8 = 24 × 8
7 × 30 - 14 y + 16 y = 192
210 + 2 y = 192
2 y = 192 - 210
2 y = - 18
∴ y = - 9
put y = -9 , 8 x = 30 - 2 y
8 x = 30 - 2 ( -9)
8 x = 30 - ( -18)
8 x = 48
∴ x = 6
x = 6 ; y = -9