a^2-5a-1=0;a+1/a
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Answer:
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±
29
Step-by-step explanation:
a
2
−5a−1=0
=>a
2
−1=5a
=>a−
a
1
=5
Squaring both sides, we get
=>a
2
+
a
2
1
−2a×
a
1
=25
=>a
2
+
a
2
1
=25+2
=>a
2
+
a
2
1
=27
Now,
(a+
a
1
)
2
=a
2
+
a
2
1
+2a×
a
1
=a
2
+
a
2
1
+2
=27+2
=29
Thus, a+
a
1
=±
29
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