InterviewSolution
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InterviewSolution
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If `(x)/(a)=(y)/(b)=(z)/(c)`, then prove that each ratio is equal to `((3x^(3)-11y^(3)+13z^(3))/(3a^(3)-11b^(3)+13c^(3)))^((1)/(3))` |
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Answer» Lwet `(x)/(a)=(y)/(b)=(z)/(c)=k` `impliesx=ak,y=bk and z=ck` `therefore((3x^(3)-11y^(3)+13z^(3))/(3a^(3)-11b^(3)+13c^(3)))^((1)/(3))=((3(ak)^(3)-11(bk)^(3)+13(ck)^(3))/(3a^(3)-11b^(3)+13c^(3)))^((1)/(3))=((k^(3)(3a^(3)-11b^(3)+13c^(3)))/((3a^(3)-11b^(3)+13c^(3))))^((1)/(3))=k` Hence, proved. |
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