Question

CH: Ratio
1) If x/a²-b² = y/b²-c²= z/c²-a², then prove that x + y + z = 0.
2) If x/a=y/b=z/c, the prove that each ratio is equal to (3x³-11y³+13z³/3a³-11b³+13c³)^1/3.
3) If x:y:z = 3:4:5 and x³+y³+z³ = 1728, then find (x-y+z).

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Answer 1

Answer:

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Answer 2

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