Question

If (1 - p) is a root of quadratic equation 2? + px + (1 - p) = 0, then the sum of the roots and p will be​

Answer 1

Step-by-step explanation:

Substituting x=1−p, we get

(1−p)

2

+p(1−p)+(1−p)=0

(1−p)(1−p+p+1)=0

Hence, p=1

Thus, x=0 is root of the equation.

Now, the equation changes to

x

2

+x=0

x(x+1)=0

x=0 and x=−1