If an integer p is chosen at random in the interval `0le ple5,` then the probality that the roots of the equation `x^(2)+px+(p)/(4)+(1)/(2)=0` are real is -

If an integer p is chosen at random in the interval 0 le p le 5 , the probability that the roots of the equation x^(2) +px+(p)/(4)+(1)/(2) = 0 are real , is

If p is chosen at random from the interval [0, 6] then the probability that the roots of the equation x^2 +px+ 1/4 (p+2)= 0 will be real is

If an integer q is chosen at random in the interval -10<=q<=10 ,then the probability that the roots of the x^(2)+qx+3(q)/(4)+1=0 are real is

Statement-1: If p is chosen at random in the closed interval [0,5], then the probability that the equation x^(2)+px+(1)/(4)(p+2)=0 has real is (3)/(5) . Statement-2: If discriminant ge0 , then roots of the quadratic equation are always real.

Statement-1: If p is chosen at random in the closed interval [0,5], then the probability that the equation x^(2)+px+(1)/(4)(+2)=0 has real is (3)/(5) . Statement-2: If discriminant ge0 , then roots of the quadratic equation are always real.

Statement-1: If p is chosen at random in the closed interval [0,5], then the probability that the equation x^(2)+px+(1)/(4)(+2)=0 has real is (3)/(5) . Statement-2: If discriminant ge0 , then roots of the quadratic equation are always real.

Statement-1: If p is chosen at random in the closed interval [0,5], then the probability that the equation x^(2)+px+(1)/(4)(+2)=0 has real is (3)/(5) . Statement-2: If discriminant ge0 , then roots of the quadratic equation are always real.

Statement-1: If p is chosen at random in the closed interval [0,5], then the probability that the equation x^(2)+px+(1)/(4)(+2)=0 has real is (3)/(5) . Statement-2: If discriminant ge0 , then roots of the quadratic equation are always real.

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