Answer:
y = -(3 x)/5 or y = 3/5 (-1)^(1/3) x or y = -3/5 (-1)^(2/3) x
Step-by-step explanation:
Solve for y:
54 x^3 + 250 y^3 = 0
Subtract 54 x^3 from both sides:
250 y^3 = -54 x^3
Divide both sides by 250:
y^3 = -(27 x^3)/125
Taking cube roots gives (3 (-x^3)^(1/3))/5 times the third roots of unity:
Answer: y = -(3 x)/5 or y = 3/5 (-1)^(1/3) x or y = -3/5 (-1)^(2/3) x
