Question

If the roots of equation 3x² + 2x + (p + 2)(p – 1) = 0 are of opposite sign then which of the following cannot be the value of p?​

Answer 1

Answer:

Given equation

3x^2+2x+p(p−1)=0

Since, roots are of opposite sign.

⇒αβ<0 3p(p−1) <0

⇒p(p−1)<0

0<p<1

⇒p∈(0,1).