Math, asked by harshmahnot006, 9 months ago

The set of values of p for which the roots of the equation


3x {}^{2} + 2x + (p - 1)p = 03x
2
+2x+(p−1)p=0
are of opposite sign is _______?
FIND value of p​

Answers

Answered by vikrantskanwar
0

Answer:

Step-by-step explanation:

Let one root is α. So, second root will be −α.

∴ Sum of roots =α−α=0

∴ Product of roots =−α2

It means product of rootsis less than 0.

Product of roots in the given equation is p(p−1)3.

∴p(p−1)3<0

⇒(p(p−1))<0

∴p∈]0,1[

Similar questions