Find the quadratic equation whose sum of the roots is 2 and sum of the cubes of the roots is 27.

i) Find the two consecutive positive even integers, the sum of whose square is 340. ii) Prove that there is a unique pair of consecutive odd positive integers such that sum of their squares is 290 find them. iii) Find all the numbers which exceeds their square root by 12. iv) Find the quadratic equation for which sum of the roots is 1 and sum of the squares of the roots is 13.

Find the quadratic equation whose one root is (1-i) .

Find a quadratic equation for which the sum of the roots is 7 and the sum of the squares of the roots is 25.

Find the quadratic equation whose roots are 2+3i, 2-3i.

The quadratic equation whose one root is - (i)/(4) :

Find the quadratic equation whose roots are 3+sqrt2, 3- sqrt2 .

Find the quadratic equation whose roots are (3+- i sqrt5)/(2) .

The quadratic equation whose one root is (-3+ i sqrt7)/(4) is

Find the quadratic equation whose roots are the reciprocals of the roots of the equation x^(2) - cx + b = 0

Form quadratic equation whose roots are : 2,5