Show that the equation `3x^(2)+7x+8=0` is not true for any real value of x.

Show that the equation 2x^(2)-6x+7=0 has no real root.

Show that the equation 3x^2-x+7=0 can not be satisfied by any real values of x.

Show that the equation 2x^2-6x+7=0 cannot be satisfied by any real values of x .

Show that the equation x^(5)+5x+a=0 cannot have more than one real root for any real value of a.

Show that the roots of the equation x^(2)+px-q^(2)=0 are real for all real values of p and q.

Show that the equation x^2+a x-4=0 has real and distinct roots for all real values of a .

If alpha and beta are the roots of the equation 3x^(2)+7x+3=0 Find the value of alpha beta:

Sum of all real values of p such that the equation x^(2)-7x+p=0 ,has two real roots whose difference is 1 is

If x=(2)/(3) and x=-3 are the roots of the equation ax^(2)+7x+b=0, find the values of a and b.