Find 1 /α + 1 /β , if α and β are the roots of the equation x2 – 4x + 9 = 0?
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Answered by
1
Answer:
ANSWER
x
2
+4x+1=0
α+β=−4
αβ=1
→
α
2
1
+
β
2
1
=(
α
1
+
β
1
)
2
−
αβ
2
=(
αβ
α+β
)
2
−
αβ
2
=(
1
−4
)
2
−
1
2
=16−2
=14
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0
Answer:
the answer is 4/9
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