Express √3 + i in polar form:
|√3 + i| = √((√3)² + 1²) = √4 = 2
arg(√3 + i) = arctan(1/√3) = π/6
Then
√3 + i = 2 (cos(π/6) + i sin(π/6))
By DeMoivre's theorem,
(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³
… = 2³ (cos(3 • π/6) + i sin(3 • π/6))
… = 8 (cos(π/2) + i sin(π/2))
… = 8i
You put the whole number on top of 1, it doesnt change its value. then you simplify across like in a butterfly only if needed then you multiply across from left to right.
Answer: I believe it is 2
slope=y2-y1/x2-x1
y2-y1= (0,-3)
x2-x1= (4,5)
m=5-(-3)/4-0
m=2
multiply 1/4 times 3 equal 3/4 or 0
Simply add -560 and -750 (remember same sides add and keep, different signs subtract) you should get -1310
