If p and q are zeros of quadratic polynomial ax^2+bx+c=0 then value of p.q=
Answers
Answered by
1
Answer:
and q are the roots of ax
2
+bx+c=0.Then
p+q=−
a
b
,pq=
a
c
q
p
+
p
q
=
pq
p
2
+q
2
=
pq
(p+q)
2
−2pq
=
c/a
(b
2
−a
2
)−2(c/a)
=
a
2
b
2
−2ac
×
c
a
=
ac
b
2
−2ac
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Answered by
1
Answer:
p+q=b/a,pa=c/p
p/q+q\p=p²+q/pq=(p+a)²-2pq/pq
=(b²-a²)-2(c/a)=b²-2ac/9×9/c=b²-2ac/9c
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