Question

if 1/q = (17 - 4)^1/2 then find value of [q - 1/q]

Answer 1

Step-by-step explanation:

1 / q = ( 17 - 4 ) ^1/2

= 13 ^1/2

= √ 13

q = 1 / √13

q - 1/q = 1 / √13 - √13

= 1 / √13 - 13/√13. ( LCM = √13 )

=( 1 - √13) / √13

multiplying and dividing by √13

= √13 ( 1 - √13 ) / √13 × √13

q - 1 / q = (√13 - 13) / 13