SOLUTION: Find one pair of real numbers, (x,y), such that x + y = 6 and x^3 + y^3 = 144.

Question 1075730: Find one pair of real numbers, (x,y), such that x + y = 6 and x^3 + y^3 = 144.

Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.

 = 

is equivalent to

 = .

Replace here (x+y) by 6 (due to the first equation) and cancel both sides by the factor of 6. You will get 

 = .

Now, from the first equation express x = 6-y and substitute it into the last equation. You will get

 = 24.


Simplify and solve this quadratic equation.

RELATED QUESTIONS
Find one ordered pair (x,y) of real numbers such that x + y = 8 and x^3 + y^3 = 200 -... (answered by greenestamps,ikleyn)

Find all ordered pairs x, y of real numbers such that x+y=10 and x^3+y^3=300. (answered by math_tutor2020,ikleyn)

Find real numbers of x and y such that : (2x+y) + (3-5x)i =... (answered by bucky)

Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find... (answered by josgarithmetic)

Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find... (answered by MathLover1)

Find real numbers x and y such that... (answered by stanbon)

Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. (answered by Boreal)

Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find... (answered by Fombitz)