Answer:
a² + 1/a² = 7
Explanation:
a + 1/a = 3 ; obtain the value of a² + 1/a²
Taking a + 1/a = 3
Squaring both sides ;
(a + 1/a)² = 3²
(a + 1/a)(a + 1/a) = a² + a/a + a/a + 1/a² = 3²
(a + 1/a)(a + 1/a) = a² + 1 + 1 + 1/a² = 9
a² + 2 + 1/a² = 9
a² + 1/a² = 9 - 2
a² + 1/a² = 7
Hence,
a² + 1/a² = 7
