If m and n are the zeroes of the quadratic polynomial x2+7x+7 then 1/m +1/n. pls tell fast
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Answer:
Step-by-step explanation:
n
m
+
m
n
=
mn
m
2
+n
2
=
mn
(m+n)
2
−mn
⇒
n
m
+
m
n
=
mn
(m+n)
2
−11)
Given that m and n are the zeroes of the polynomial 3x
2
+11x−4.
Therefore,
Sum of zeroes =m+n=−
a
b
=−
3
11
Product of zeroes =mn=
a
c
=
3
−4
∴
n
m
+
m
n
=
(
3
−4 )( 3−11 ) 2
−1=− 16 121
−1=− 16 137
Hence the value of n
Lm + Mn
wil be − 16137
.
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