Question

if aΛ½ - aΛ-½ = 1 , how to show that a + aΛ-1 = 3 ?

Answer 1

Step-by-step explanation:

a^1/2-a^-1/2=1

√a-1/√a=1

by lcm √a√a-1/√a=1

a-1/√a=1

a-1=√a

by squaring on both sides

(a-1)^2=a

a^2+1-2a=a

a^2+1-3a=0

a^2+1=3a

a^2. 1

------ +. ------ =3

a. a

a+1/a=3

a+a^-1=3

hence proved