Question

if n√x^p=x^m, then p is equal to
I) n ii) m iii)mn d)m/n
​

Answer 1

Answer:

ANSWER

(x+p)(x+q)−k=0

⟹x

2

+(p+q)x+pq−k=0

m and n are the roots of this equation

So, we have

Sum of roots =−(p+q)=m+n

Product of the roots =pq−k=mn

⇒pq=mn+k

Consider, (x−m)(x−n)+k=0

⇒x

2

−(m+n)x+mn+k=0

Sum of roots is m+n

But m+n=(−p)+(−q)

Product of the roots =mn+k

But mn+k=pq=(−p)(−q)

Hence, the roots of the new equation are −p,−q