If (1/a + a)2 = 10, what is the value of 1/a2 + a2 ?
Solution
Correct Answer: Option C
(1/a + a)² = (1/a)² + 2(1/a)(a) + a²
⇒ (1/a + a)² = 1/a² + 2 + a²
⇒ 1/a² + 2 + a² = 10
⇒ 1/a² + a² = 10 - 2
⇒ 1/a² + a² = 8
⇒ (1/a + a)² = 1/a² + 2 + a²
⇒ 1/a² + 2 + a² = 10
⇒ 1/a² + a² = 10 - 2
⇒ 1/a² + a² = 8
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