1) Find two numbers whose sum is 55 and whose product is 684.
2) A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 2400 square feet.
I'm not sure how to enter special characters on here, so this might be difficult to understand:
3) Find all solutions, real and complex, of the equation.
x^6 - 9x^3 + 8 = 0
Answers:
1) 19 & 36
2) 60 ft x 40 ft
3) 1, 2, (-1 + or - i square root of 3)/2, and -1 + or - i square root of 3
Sorry if it got confusing since I couldn't figure out how to use symbols.
Anyway, for #3, I have it set up like this:
(x^3 - 8)(x^3 - 1)=0 ---> x = cube root of 8 ; x = cube root of 1
So I end up with 1 and 2. I don't understand how to get the two complex solutions.
Thank you very much in advance for any help that any of you are able to provide.
2) A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 2400 square feet.
I'm not sure how to enter special characters on here, so this might be difficult to understand:
3) Find all solutions, real and complex, of the equation.
x^6 - 9x^3 + 8 = 0
Answers:
1) 19 & 36
2) 60 ft x 40 ft
3) 1, 2, (-1 + or - i square root of 3)/2, and -1 + or - i square root of 3
Sorry if it got confusing since I couldn't figure out how to use symbols.
Anyway, for #3, I have it set up like this:
(x^3 - 8)(x^3 - 1)=0 ---> x = cube root of 8 ; x = cube root of 1
So I end up with 1 and 2. I don't understand how to get the two complex solutions.
Thank you very much in advance for any help that any of you are able to provide.