Question

if a^2-3a-1=0 find a^2+1/a^2

Answer 1

a^2 - 3a - 1 = 0

Solve the quadratic equation

=> a = (3 + sqrt(13) ) / 2 AND (3 - sqrt(13) ) / 2

Also 1 / a = (sqrt(13) - 3) / 2 AND - (3 + sqrt(13) ) / 2

So, a^2 + 1/a^2 = ( (3 + sqrt(13) )^2 + (3 - sqrt(13) )^2 ) / 4 = (9+13) / 2 = 22/2 = 11

Ans, 11

Answer 2

Answer:

The answer is 11.

$if a^2-3a-1=0 find a^2+1/a^2$