Question

The roots of the quadratic equation a/x=x/a are
1)a,a
2)-a,-a
3)a,-a
4)-a²,a²


pls answer this with explanation​

Answer 1

Answer:

$\frac{a}{x} = \frac{x}{a} \\ \\ = > {x}^{2} = {a}^{2} \\ \\ = > x = \sqrt{ {a}^{2} } \\ \\ = > x = + a \: or \: - a$

option ( 3 ) ✔

hope it helps uH ✌

Answer 2

Answer:

Option (3)

Step-by-step explanation:

a/x=x/a

=x^2=a^2

=x^2-a^2=0

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

Therefore, x=a and x=-a

Hope it helps u...