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
Answer:
Step-by-step explanation: He add 16 together you are not suppose to add 16 you are suppose to add 5 together so instead of 16 + 16 you do 16+ 5
The volume becomes 1/3 of the original. With a rectangular base, volume of a pyramid is V=(length*width*height)/3. Cutting the height to 1/3 of the original length will make the total volume 1/3 of the original volume.
Step-by-step explanation:
1.6a= -9.12
a= -9.12/1.6
=−5.7
option B
