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If (1-p) is a root of quadratic equation x^2+p x+(1-p)=0 , then its roots are

Options

  1. A0,1
  2. B-1,2
  3. C0,-1
  4. D-1,1

Correct answer

C. 0,-1

Step-by-step solution

(3) aligned & (1-p)^2+p(1-p)+(1-p)=0 ( since (1-p) is a root of the equation x^2+p x+(1-p)=0 ) & (1-p)(1-p+p+1)=0 & 2(1-p)=0 (1-p)=0 p=1 & sum of root is + =-p and product =1-p=0 (where =1-p=0) & +0=-1 =-1 Roots are 0,-1 aligned

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