IF the sum of the roots of the equation `x^2+px +q=0` is 3 times their difference , then

If the sum of the roots of the equation x^2-px+q=0 be three times their difference show that, 2p^2=9q .

If the sum of the roots of the equation x^(2)-px+q=0 be m times their difference, prove that p^(2)(m^(2)-1)=4m^(2)q .

The sum of the roots of the equation x^2+ px + q= 0 is equal to the sum of their squares, then

If the sum of the two roots of the quadratic equation x^2-px+q=0 be the thrice of their difference then prove that 2p^2=9q

The sum of the roots of the equation x^(2) + px + q = 0 is equal to the sum of their squares, then :

If the sum of the roots of an equation x^(2) + px + 1 = 0(p gt 0) is twice the difference between them, then p ="____" .

If the roots of the equation x^(2)-px+q=0 differ by unity then

if the difference of the roots of the equation x^(2)-px +q=0 is unity.