Problem 3: Proof by contradiction
Prove the following: There are no rational number solutions to the equation x'+x+1=0, i.e. no
solution can be written as a ratio a/b where a and b are integers (you can always consider a/b to
be reduced to lowest terms).
Problem 5: Proof by induction
Prove by induction that
a). E%=o(p) = 2n
b). S(n)= i(n-1+1) - =1*n+2(n-1)+3(n-2)+ +(n-2)*3+(n-1)*2+n*1=(***)
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