The quadratic equation `x^2-1088x+295680=0` has two positive integral roots whose greatest common divisor is 16. The least common multiple of the two roots is

If quadratic equation f(x)=x^(2)+ax+1=0 has two positive distinct roots then

If quadratic equation f(x)=x^(2)+ax+1=0 has two positive distinct roots then

If the quadratic equation x^(2)-((alpha^(2)+11)x)/(9)+15(alpha+beta)/(4)+16=0 has two integral roots alpha& beta then

The quadratic equation x-6x+a =0 and x^2-cx +6=0 have one root in common the other roots of the first and second equations are integers in the ratio 4 : 3 then the common root is

If the equation ax^(2)+bx+c=0 has two positive and real roots,then prove that the eqsition ax^(2)+(b+6a)x+(c+3b)=0 has at least one positive real root.

The quadratic equations x^2-6x+a=0 and x^2-cx+6=0 have one root in common. Other two roots of the equations are integers and they are in the ration 4:3. Then the common root is

There are two numbers a and b whose product is 192 and the quotient of AM by HM of their greatest common divisor and least common multiple is (169)/(48). The smaller of a and b is

There are two numbers a and b whose product is 192 and the quotient of AM by HM of their greatest common divisor and least common multiple is (169)/(48). The smaller of a and b is