0
x + y = -2
∴ y = -2 - x
xy = 2
∴ x(-2 - x) = 2
∴ -2x - x2 = 2
∴ x2 + 2x + 2 = 0
∴ x2 + 2x + 1 = -1
∴ (x + 1)2 = -1
∴ x + 1 = i
∴ x = i - 1
recall: y = - 2 - x
∴ y = - 2 - (i - 1)
∴ y = -2 - i + 1
∴ y = - i - 1
∴ x3 + y3 = (i - 1)3 + (- i - 1)3
= (i - 1)(i2 - 2i + 1) + (- i - 1)(i2 + 2i + 2)
= i3 - 2i2 + i - i2 + 2i - 1 - i3 - 2i2 - 2i - i2 - 2i - 2
= i3 - i3 - 2i2 - i2 - 2i2 - i2 + i + 2i - 2i - 2i - 1 - 2
= -6i2 - i - 3
= 3 - i
What else can I help you with?
How do you factor x cubed plus y cubed?
x^3 + y^3 = (x + y)(x^2 - xy + y^2)
What is the solution when x cubed -y cubed is divided by x -y?
It is x^2 + xy + y^2
Factor 2 plus 2y plus x plus xy?
2+2y+x+xy=(x+2)(y+1)
What is the answer to x cubed plus 3x squared plus 3x plus 2 divided by x plus 2?
x3+3x2+3x+2 divided by x+2 equals x2+x+1
How do you factor the expression x cubed y cubed minus 343?
(xy - 7)(x^2y^2 + 7xy + 49)
How do you factor x cubed plus y cubed?
x^3 + y^3 = (x + y)(x^2 - xy + y^2)
Implicit differentiation of xy plus x equals 2?
It equals y+1
What is the solution when x cubed -y cubed is divided by x -y?
It is x^2 + xy + y^2
2 cubed plus 2 cubed plus 2 cubed?
2 cubed = 2*2*2 =8. 8+8+8= 24
What is the value of the expression r2 plus s3 when are equals 2 and s equals 3?
2 squared is 4 3 cubed is 27 27 plus 4 is 31
Factor 2 plus 2y plus x plus xy?
2+2y+x+xy=(x+2)(y+1)
What number when cubed equals 8?
The answer is 2. 2 cubed means 2 to the 3rd power or 2x2x2 which equals 8.
What is the answer to x cubed plus 3x squared plus 3x plus 2 divided by x plus 2?
x3+3x2+3x+2 divided by x+2 equals x2+x+1
How do you factor the expression x cubed y cubed minus 343?
(xy - 7)(x^2y^2 + 7xy + 49)
2x2 plus y2 - xy equals 21?
if you meant 2x²+y²-xy=21x=(±sqrt(-7 y^2+168)+y)/4y=(±sqrt(-7 x^2+84)+x)/2
What equals 8 when cubed?
2
Factor xy plus 2x plus 4y plus 8?
xy plus 2x plus 4y plus 8 or (xy+2x) + (4y+8) or x(y+2) + 4(y+2) or (x+4)(y+2)
