If the sum of the roots of an equation is 2 and the sum of their cubes is 98, then find the equation.

The sum of three numbers in A.P. is 12 and the sum of their cubes is 288. Find the numbers.

The sum of an infinite G.P. is 57 and the sum of their cubes is 9457 , find the G.P.

The sum of an infinite G.P. is 57 and the sum of their cubes is 9457 , find the G.P.

The sum of infinite number of terms of a G.P. is 4 and the sum of their cubes is 192. Find the series.

Sum of the roots of the equation x^2 +7x+10=0

If the sum of two numbers is 5 and the sum of their cubes is 35, find the sum of their squares

If the sum of the roots of the equation x^(2)+px+q=0 is 3 times their difference, then

The sum of two numbers is 7 and the sum of their cubes is 133. Find the sum of their squares

Consider the graph of y = f(x) as shown in the following figure. (i) Find the sum of the roots of the equation f (x) = 0. (ii) Find the product of the roots of the equation f(x) = 4. (iii) Find the absolute value of the difference of the roots of the equation f(x) = x+2 .

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