Question

if (a² + 1/a²) = 2 then (a - 1/a) = ?

Answer 1

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..

Answer 2

(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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