If `a in Z` and the equation `(x-a)(x-10)+1=0` has integral roots, then values of `a` are

Prove that the equation Z^(3)+iZ-1=0 has no real roots.

If the equation x^(2)+2(1+k)x+k^(2)=0 has equal roots, what is the value of k ?

If 2 is a root of the equation x^(2) + kx +12=0 and the equation x^(2)+kx +q=0 has equal roots, find the value of q.

Number of integral values of a for which the equation x^(2)-(a+1)x+a-1=0, has integral roots,is equal to -

If the quadratic equation 4 x^ 2 - (p-2)x+ 1 = 0 has equal roots, then the value of 'p' are

If m in Z and the equation m x^(2) + (2m - 1) x + (m - 2) = 0 has rational roots, then m is of the form