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16 May, 20:14

54x^3+250y^3 is what?

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  1. 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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