One of the two real roots of the quadratic equation `ax^(2)+bx+c=0` is three times the other. Then prove that `b^(2)-4ac=(4ac)/(3)`

If one root of the quadratic equation ax^(2)+bx+c= 0 is equal to the nth power of the order, then prove that (ac^(n))^((1)/(n+1)) + (a^(n)c)^((1)/(n+1))=-b

If one of the roots of the quadratic equation a x^(2) - b x + a = 0 is 6, then value of (b)/(a) is equal to

If one of the roots of the equation x ^(2) + bx + 3 =0 is thrice the other, then b is equal to : a) pm3 b) pm2 c) pm1 d) pm4

If the ratio of the roots of ax^(2) +2bx+c=0 is same as the ratio of the px^(2)+2qx +r= 0 , then prove that (b^(2))/(ac)= (q^(2))/(pr)

The number of real roots of the equation |x|^(2) - 3|x| + 2 = 0 is a)1 b)2 c)3 d)4

The quadratic equation whose roots are three times the roots of the equation 2x^(2)+3x+5=0 , is