Find the number of quadratic equations, which are unchanged by squaring their roots.

A quadratic equation is chosen from the set of all quadratic equations which are unchanged by squaring the roots. The chance that the chosen equation has equal root, is

Write the number of quadratic equation with real roots, which do not change by squaring their roots.

Write the number of quadratic equation with real roots, which do not change by squaring their roots.

Find the roots of the quadratic equation 6x^2-x-2=0 .

Form quadratic equation whose roots are : 2,5

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

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

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