1. 343x³ - 8 = 0
343x³ + 98x² - 98x² + 28x - 28x - 8 = 0
343x³ + 98x² + 28x - 98x² - 28x - 8 = 0
7x(49x²) + 7x(14x) + 7x(4) - 2(49x²) - 2(14x) - 2(4) = 0
7x(49x² + 14x + 4) - 2(49x² + 14x + 4) = 0
(7x - 2)(49x² + 14x + 4) = 0
7x - 2 = 0 or 49x² + 14x + 4 = 0
+ 2 + 2 x = -(14) ± √((14)² - 4(49)(4))
7x = 2 2(49)
7 7 x = -14 ± √(196 - 784)
x = ²/₇ 98
x = -14 ± √(-588)
-98
x = -14 ± 14i√(3)
-98
x = -14 + 14i√(3) or x = -14 - 14i√(3)
-98 -98
x = ¹/₇ - ¹/₇i√(3) or x = ¹/₇ + ¹/₇√(3)
x = ¹/₇ ± ¹/₇i√(3)
Solution Set: {¹/₇ ± ¹/₇i√(3), ²/₇}
2. 64x³ = 0
64 64
x³ = 0
∛(x³) = ∛(0)
x = 0
Solution Set: {0}
You can do this in parts.
g(-3) = 3(-3) + 1 = -9 + 1 = -8
So, 5g(-3) = 5(-8) = -40.
So f(-1) + 5g(-3) = 2 - 40 = -38
Or you can do this as one big chunk.
f(-1) + 5g(-3)
![=[(-1)^2+1] + 5[3(-3) + 1] \\ = (2) + 5(-9 + 1) \\ = 2 + 5(-8) \\ = 2 - 40 \\ = -38](https://tex.z-dn.net/?f=%3D%5B%28-1%29%5E2%2B1%5D%20%2B%205%5B3%28-3%29%20%2B%201%5D%20%5C%5C%0A%3D%20%282%29%20%2B%205%28-9%20%2B%201%29%20%5C%5C%0A%3D%202%20%2B%205%28-8%29%20%5C%5C%0A%3D%202%20-%2040%20%5C%5C%20%3D%20-38)
Answer:
mom will let you know
Step-by-step explanation:
shes gone
Answer:
1=6 2=3 4=1 5=5 6=4 7=18 8=8
Answer:
What is the x-value of the solution to the system of equations shown below?
Step-by-step explanation:
y = 3x +5
2y = 4x + 24
