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:
When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution.
Step-by-step explanation:
Got this from google hope it helps
Answer:
B
Step-by-step explanation:
4 (x - 7) - 2 (x + 1) = 10
x = 10
B. -2 (x - 7) + (x + 1) = 5
x = 10
your equation is equivalent to B!
Answer:
1 
cups
Step-by-step explanation:
Convert the numbers to decimals, then subtract the amount needed from the amount in the juice container:
4.25 - 2.5
= 1.75
This is equivalent to the fraction 1
So, after Yupin makes the punch, there will be 1 cups of guava juice left in the container
The answer is 3 because Pythagorean triplets consist of 3,4 and 5.
