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Show that the statement p: If x is a re...

Show that the statement p:
If x is a real number such that `x^3+4x=0`. then x is 0 is true by
(i) direct method,
(ii) method of contradiction,
(iii) method of contrapositive.

Text Solution

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Therefore `x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4`However x is real.
Therefore x = 0 which is a contradiction since we have assumed that x is not 0.
Thus the given statement p is true
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