Answer: a²+b² = -99/2
Step-by-step explanation:
Since we are given two equations, this equations will be solved simultaneously to get a² and b²
a³ - 3ab² = 47 ... 1
b³ - 3a² b = 52... 2
From 1, a(a² - 3b²) = 47...3
From 2, b(b² - 3a²) = 52... 4
Adding 3 and 4, we have;
a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)
a²+b²-(3b²+3a²) = 99
(a²+b²) -3(b²+a²)= 99
Taking the difference we have
- 2(a²+b²) = 99
a²+b² = -99/2
Answer:
8-i
Step-by-step explanation:
(2+i)(3-2i)
6-4i+3i-2(-1)
6-i+2
8-i
Answer: The answer is 1, 2
Step-by-step explanation:
2/7 - 5/21 = 6/21 - 5/21 (find common denominator first, then subtract)
6/21 - 5/21 = 1/21
3/4 = 63/84
5/7 = 60/84
7/12 = 49/84
63/84 + 60/84+ 49/84 = 172/84
172/84 - 4/84 = 168/84
The answer is 168/84, or 2. Hope this helped!
