Question

If a and b are the roots of the quadratic equation ax 2 + bx + c = 0, then form an equation whose roots are a b + 1 and b a + 1 .

Answer 1

sum of roots is ab+1+ba+1

i.e 2ab+2

product of roots is ab2+2ab+1

then

${x}^{2} - (2ab + 2) + {(ab + 1)}^{2}$