if alpha beta are roots of the equation x^2-4x+2=0 find the value of alpha square +beta square
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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
Step-by-step explanation:
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