If (1 – p) is a root of quadratic equation x2 + px + (1 – p) = 0

• Quadratic Equations

If (1 – p) is a root of quadratic equation x² + px + (1 – p) = 0, then its roots are

1. 0, -1
2. 1, 1
3. 0, 1
4. 2, 1

Solution

As (1 – p) is root of the equation: x² + px + (1 – p) = 0

(1 – p)² + p(1 – p) + (1 – p) = 0

(1 – p)[1 – p + p + 1] = 0

(1 – p) = 0

p = 1

Therefore, given equation now becomes

x² + x = 0

x(x + 1) = 0

x = 0, -1

The correct option is A.