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:
1=x or x=1
Step-by-step explanation:
3(x+2)-10=4x-6+x
distribute
3x+6-10=4x-6+x
combine like terms
3x-4=5x-6
subtract 3x from each side
-4=2x-6
add 6 to both sides
2=2x
divide by 2
1=x or x=1
Answer:
b=3 units
h=5 units
a=7.5 units
Step-by-step explanation:
i thnk u can figure this out
Answer:hehdhfhdhd
Step-by-step explanation:
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