if alpha and beeta are the zeroes of the polynomial x² +x-6,find the value of 1/ alpha² + 1/ beeta² .
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Answer:
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Answered by
1
Step-by-step explanation:
let alpha=m
beta= n
for easy notation
m+n =-b/a=-1
mn=c/a=-6
1/m² +1/n²
(m²+n²)/m²n²
(m+n)²=m²+n²+2mn
we get
(-1)²= m²+n²+2(-6)
1=m²+n²-12
m²+n²=13
putting this value in equation we get
13/(-6)²
13/36
thank you
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