If the sum of the roots of the quadrati equation ` ax^2+bx + c=0 `is cqual to the sum of the squares of their reciprocals. Show that be ca ab are in A.P.

If the sum of the roots of the quadratic equation ax^2+bx+c=0 is equal to the sum of the squares of their reciprocals, show that bc^2,ca^2,ab^2 are in Arithmetic Progression (AP). It is well known that if any three consecutive terms, form a sequence, are such ttiat the difference between any two consecutive terms is same' then they are in AP.

The sum of the roots of the quadratic equations ax^(2) + bx + c=0 is

If the sum of the roots of the equation ax^2+bx +c = 0 is equal to the sum of the squares of their reciprocals, then show that bc^2, ca^2, ab^2 are in A.P.

If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b are in

If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b are in

If the sum of the roots of the equation ax^(2) + bx+ c = 0 is equal to the sum of their squares then

If the sum of the roots of the equation a x^(2)+b x+c=0 is equal to the sum of the squares of their reciprocals, then

If the sum of the roots of the quadratic equation a x^2+b x+c=0 is equal to the sum of the squares of their reciprocals, then prove that a/c , b/a a n d c/b are in H.P.

If the sum of the roots of the quadratic equation a x^2+b x+c=0 is equl to the sum of the squares of their reciprocals, then prove that a/c , b/a a n d c/b are in H.P.