If the both roots of the equation `x^(2)-bx+c=0` be two consecutive integers, then `b^(2)-4c` equals

If the roots of the equation x^(2)-bx+c=0 are two consecutive integers, then b^(2)-4c is

If the roots of x^2-bx +c=0 are two consecutive integers then b^2-4c=

If the roots of x^(2)-ax+b=0 are two consecutive odd integers, then a^(2)-4b is

If the roots of the equation x^(2)+2bx+c=0 are alpha" and "beta, " then "b^(2)-c =

If the roots of the cubic, x^2+a x^2+b x+c=0 are three consecutive positive integers, then the value of (a^2//b+1) is equal to __________.

If alpha and beta are the roots of the equation ax^(2)+bx+c=0 then the sum of the roots of the equation a^(2)x^(2)+(b^(2)-2ac)x+b^(2)-4ac=0 is

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 prove that 2a^(2)c = c^(2)b + B^(2)a.

If the roots of the equation x^(2)+px+c=0 are 2,-2 and the roots of the equation x^(2)+bx+q=0 are -1,-2, then the roots of the equation x^(2)+bx+c=0 are

If the sum and product of the roots of the equation ax^(2)-5x+c=0 are both equal to 10 then find the values of a and c.