Question

determine P, so that thw following equation has coincident roots:t²+p²(p+1)t.

Answer 1

Answer:

0 or -1

Step-by-step explanation:

Hi,

Given polynomial is f(t) = t² + p²(p+1)t

f(t) = t(t + p²(p+1))

f(t) = 0 gives the roots of polynomial f(t)

we get t= 0 or t = - p²(p+1)

Given that the equation has coincident roots, and since one

root is equal to zero, the other should be equal to zero.

p²(p+1) = 0

So either p = 0 or p = -1

Hence, the values of p are either 0 or -1.

Hope, it helps !