Find the roots of quadratic equation `ax^(2) + (a-b + c) x - b +c = 0`.

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

If b^(2) - 4ac gt 0, then find the nature of roots of quadratic equations ax^(2) + bx+ c =0

If the roots of the quadratic equation (a-b) x^(2) + (b - c) x + (c - a) =0 are equal , prove that b +c = 2a

What is the nature of the roots of the quadratic equations ax^(2) +bx+ c=0 if : b^(2) -4ac =0

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

The sum of the roots of the quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their recipocals, prove that (c)/(a),(a)/(b),(b)/(c) are in A.P.

Show that the roots of the quadratic equation: (b - c)x^(2) + (c - a) x + (a - b) = 0 are equal if c + a = 2b.