a2 + 1/a2 = 2 then 1/a +a = ?
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Answered by
19
a^2 + 1/ a^2 = 2
(a+1/a)^2 - 2 × a × 1/a =2
(a+1/a)^2 -2 = 2
(a+ 1/a) ^2 = 4
(a+ 1/a) = 2
since
a + 1/a = 2
ur answer
may this help u
(a+1/a)^2 - 2 × a × 1/a =2
(a+1/a)^2 -2 = 2
(a+ 1/a) ^2 = 4
(a+ 1/a) = 2
since
a + 1/a = 2
ur answer
may this help u
Answered by
15
Your Answer is in attachment.
==================================
ANSWER
1/a + a = 2
EXPLANATION
using property-
(a+b)² = a² + b² + 2ab
(a + 1/a)² = a² + 1/a² + 2 ........... (I)
Substitute a² + 1/a² = 2 in eq.(I)
(a + 1/a)² = 2 + 2
(a + 1/a)² = 4
a + 1/a = √4
1/a + a = 2
==================================
ANSWER
1/a + a = 2
EXPLANATION
using property-
(a+b)² = a² + b² + 2ab
(a + 1/a)² = a² + 1/a² + 2 ........... (I)
Substitute a² + 1/a² = 2 in eq.(I)
(a + 1/a)² = 2 + 2
(a + 1/a)² = 4
a + 1/a = √4
1/a + a = 2
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