if (a² + 1/a²) = 2 then (a - 1/a) = ?
Answers
Answered by
0
Step-by-step explanation:
Answer:
a-\frac{1}{a}=0a−
a
1
=0
Explanation:
Given a^{2}+\frac{1}{a^{2}}=2a
2
+
a
2
1
=2 ----(1)
Subtract 2 both sides of the equation,we get
\implies a^{2}+\frac{1}{a^{2}}-2=2-2⟹a
2
+
a
2
1
−2=2−2
\implies a^{2}+\frac{1}{a^{2}}-2\times a \times \frac{1}{a}=0⟹a
2
+
a
2
1
−2×a×
a
1
=0
\implies(a - \frac{1}{a})^{2}= 0⟹(a−
a
1
)
2
=0
\implies a-\frac{1}{a}=0⟹a−
a
1
=0
Therefore,
a-\frac{1}{a}=0a−
a
1
=0
hope it will help you..
Answered by
1
(a²+1/a²)=2
subtract 2 both side
a²-2+1/a²=2-2
(a)²-2(a)(1/a)+1/a=0
(a-1/a)²=0
a-1/a=0
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