Answer:
The sum of reciprocals is 2/3.
You don't need complex numbers to solve this, but if you try to find a and b you will need complex numbers.
Step-by-step explanation:
a+b = 2
a*b = 3
1/a + 1/b = x
(a*b)*(1/a + 1/b) = (a*b)x
b + a = (a*b)(x)
2 = 3x
x = 2/3
b = 2 - a
a*(2 - a) = 3
-a^2 + 2a = 3
-a^2 + 2a - 3 = 0
a^2 - 2a + 3 = 0
let's solve the quadratic equation
a^2 - 2a + 3 = a^2 - 2a + 1 + 2 = (a - 1)^2 + 2 = 0
(a - 1)^2 = -2

these options correspond to a and b from the original question.
Step-by-step explanation:
the problem description is incomplete or wrongly copied.
we don't know the thickness of the boards, and we cannot understand what we need to calculate, and what the answer options are.
Using cosine law,
d^2 = 65^2 + 35^2 - 2(65)(35)cos140
= 8935.5022
d = sqrt(8935.5022)
= 94.5 m
Angle = inverseCos(35sin40 / 94.5) = 76.23 degrees South of East
Answer:
4.6
Step-by-step explanation:
5x +3 = 20
5x = 23
x = 4.6