Question

if a+1/a=3, then what is the value of (a^2+1/a^2)?​

Answer 1

Step-by-step explanation:

a + 1/a = 3

squaring both sides

(a) ² + (1/a)² = 9

as we know (a+b)² = a²+b²+2ab

a² + 1/a² + 2 = 9

a²+1/a² = 9 - 2

a²+1/a² = 7

hope this will help you