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.

Show that the statement: p:Ifx is a real number such that x^(3)J=4x=0, the x is 0 is true by Direct method ii.method of contradiction ii.method of contrapositive

Show that the statement: p: If x is a real number such that x^(3)+x=0, then x is 0 is true by Dirtect method ii.number of contrapostive Method of contradition

Consider the statement : p : If x a real number such that x^3 +4x =0 then x=0 prove that p is a true statement using : (i) direct method d (ii) method of contradiction (iii) method of contrapositive

Show, by the method of contradiction : p : If x is a real number such that x^(3) + 8 x = 0 , then x = 0 .

5.Show that following statement is true by (1) direct method ( 2) method of contrapositive (3) method of contradiction if x^(5)+16x=0, then x=0

Show, by the method of contradiction, p : sqrt( 2) is irrational .

Prove by direct method that for any real number x,y if x = y then x^(2) = y^(2) .

Solve: 6x^(2)-x-2=0 by the factorisation method.

Show that the following statement is true by the method of contrapositive.p: If x is an integer and x^(2) is even,then x is also even.

Show that the following statement is true by the method of contrapositive p: if x is an integer and x^(2) is odd then x is also odd.