Question

If m ,n are the zeroes of ax2-bx+c.find the value of a and c .if m+n/mn =10

Answer 1

Answer:

(mn)(ba)2=(1+mn)2(ca)

Explanation:

ax2+bx+c=0→p(x)=x2+(ba)x+(ca)=0

Let x1,x2 be the the roots of p(x)=0

then

p(x)=(x+x1)(x+x2)=x2+(x1+x2)x+x1x2

but x1x2=mn then

p(x)=x2+(1+mn)x1x+(mn)x21 Now after comparison we have

{(1+mn)x1=ba(mn)x21=ca

or

(ba)2(1+mn)2=(ca)(mn) or

(mn)(ba)2=(1+mn)2(ca)