Question

If the roots of the quadratic equation \(x^2-(p+1)x+p=0\) are equal, then \(p\) is:

• A. \(1/4\)
• B. \(-1/4\)
• C. 1
• D. \(-1\)

Hint:

Equal roots ⇒ discriminant zero.

Answer 1

The Correct Option is C

Equal roots ⇒ discriminant \(=0\): \[ (p+1)^2-4p=0 \Rightarrow (p-1)^2=0 \Rightarrow p=1 \]