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:
x=11
Step-by-step explanation:
For extra help the second answer is: 7a(3-a)
Answer:
i think the answer would be 35
The equation is
(A ≠ B)
A is the first number, ratio, rate, etc. , and B is the second.
The ≠ symbol means "does not equal", so the equation means:
[ Ratio A is NOT equal to Ratio B. ]
Answer:
MN=23
Step-by-step explanation:
For the midsegment:
MN=(WZ+XY)/2
10x+3=(11+8x+19)/2
10x+3=4x+15
6x=12
x=2
MN=10×2+3=23
