Question

The number of quadratic equations having real roots and which do not change by squaring their roots is
A. 4
B. 3
C. 2
D. 1

Answer 1

The number of quadratic equations having real roots and which do not change after squaring them are given below.

•For an equation to be the same after squaring the roots, the possible values of roots are 0 and 1.

•For a quadratic equation you usually have 2 roots.

•Now, possibilities are

(0,0)

(0,1)

(1,1).

•These are the possibilities for the equation to be unchanged even after squaring the roots.

•Hence we get 3 equations.

•So option B is the right answer.