Question

what are the roots of x/a=a/x​

Answer 1

a and -a

Step-by-step explanation:

x/a=a/x

x^2=a^2

x^2-a^2=0 [(a+b)(a-b)=a^2-b^2]

(x+a)(x-a)=0

x+a=0 or x-a=0

Hence roots of x/a=a/x are a and -a