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William Perry
Mathematics
16 May, 20:14
54x^3+250y^3 is what?
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Ruth Brandt
16 May, 20:15
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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
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