Answer:
Step-by-step explanation:
a). =
=
= [Since, i = ]
b). =
=
= 5 ± 2i [Since, i = ]
c). =
=
=
= [Since, i = ]
Given that the roots of the equation x^2-6x+c=0 are 3+8i and 3-8i, the value of c can be obtained as follows;
taking x=3+8i and substituting it in our equation we get:
(3+8i)^2-6(3+8i)+c=0
-55+48i-18-48i+c=0
collecting the like terms we get:
-55-18+48i-48i+c=0
-73+c=0
c=73
the answer is c=73
f(x) represents the total number of pages Antonia has read; x represents the number of days
It’s the first option, 5 + c
Answer:
x = 2.
Step-by-step explanation:
5[3(x + 4) − 2(1 − x)] − x − 15 = 14x + 55
5[3x + 12 - 2 + 2x] - x - 15 = 14x + 55
5[5x + 10] - x - 15 = 14x + 55
25x + 50 - x - 15 = 14x + 55 Now we subtract 14x from both sides:
25x + 50 - x - 15 - 14x = 14x - 14x + 55
10x + 50 - 15 = 55 Now we subtract 50, add 15 to both sides:
10x + 50 - 50 - 15 + 15 = 55 - 50 + 15
10x = 20
x = 2.