Answer:
Solutions are 2, -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i
or 2, -1 + 1.58 i and -1 - 1.58i
(where the last 2 are equal to nearest hundredth).
Step-by-step explanation:
The real solution is x = 2:-
x^3 - 8 = 0
x^3 = 8
x = cube root of 8 = 2
Note that a cubic equation must have a total of 3 roots ( real and complex in this case). We can find the 2 complex roots by using the following identity:-
a^3 - b^3 = (a - b)(a^2 + ab + b^2).
Here a = x and b = 2 so we have
(x - 2)(x^2 + 2x + 4) = 0
To find the complex roots we solve x^2 + 2x + 4 = 0:-
Using the quadratic formula x = [-2 +/- sqrt(2^2 - 4*1*4)] / 2
= -1 +/- (sqrt( -10)) / 2
= -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i
5. D
6.G
7.B
8.J
9.C
10.F
Sorry it took time.
Answer:
1400
Step-by-step explanation:
hope that helps <3
Answer:
79.3833333333333333333333333333333333333333333333333333333333333333333333333333333333
Step-by-step explanation:
The answer is B, at first the sum is 621 and then you divide by 7 to get your median (88), after you add the two #s of 86 and 87 to 621 and divide by 9. Resulting in the median being 88
