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Find the quadratic equation, the sum of ...

Find the quadratic equation, the sum of whose roots is 1 and the sum of squares of the roots is 13.

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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 sum of the roots is 2 and sum of the cubes of the roots is 27.

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

The quadratic equation for which the sum of the roots is 7 and the sum of the squares of the roots is 25 is

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

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

The quadratic equation for which the sum of the roots is 12 and the sum of the cubes of the roots is 468 is

Form the quadratic equation, if the sum of the roots is 24 and the product of the roots is 140.