If the equations `ax^2-2bx+c=0, bx^2-2cx + a = 0` and `cx^2-2ax+b=0` all have only positive roots, then

Let three quadratic equations ax^(2) - 2bx + c = 0, bx^(2) - 2 cx + a = 0 and cx^(2) -2 ax + b = 0 , all have only positive roots. Then ltbr. Which of these are always ture?

Let three quadratic equations ax^(2) - 2bx + c = 0, bx^(2) - 2 cx + a = 0 and cx^(2) - ax + b = 0 , all have only positive roots. Then ltbr. Which of these are always ture?

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then

If alpha" and "beta, alpha" and "gamma" and "alpha" and "delta are the roots of the equations ax^(2)+2bx+c=0, 2bx^(2)+cx+a=0" and "cx^(2)+ax+2b=0 respectively, where a,b and c are positive real numbers, then alpha+alpha^(2)=

If alpha and beta , alpha and gamma , alpha and delta are the roots of the equations ax^(2)+2bx+c=0 , 2bx^(2)+cx+a=0 and cx^(2)+ax+2b=0 respectively where a , b , c are positive real numbers, then alpha+alpha^(2) is equal to

If alpha and beta , alpha and gamma , alpha and delta are the roots of the equations ax^(2)+2bx+c=0 , 2bx^(2)+cx+a=0 and cx^(2)+ax+2b=0 respectively where a , b , c are positive real numbers, then alpha+alpha^(2) is equal to