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Show that the statement . p : 'If x is a real number such thatx^(3)+ 4x=0, then x=0' is true by Method of contrapositive |
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Answer» <P> Let x=0 be not TRUE. Let x =p ≠ 0.Then, `p^(3)+4 p=0,p` being the root of`x^(2)+4=0=>p(p^(2)+4)=0.` Now, p ≠ 0, Also, `p^(2)+4 ≠ 0 => p(p^(2)+4)≠0 :. x=0` is the root of`x^(3)+4x=0` |
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