Question

How do you solve `5 * [sqrt( a - 3 )] - 10 = 0`?

Answer 1

Isolate the radical

Explanation:

`5sqrt(a - 3) = 10`

`sqrt(a - 3) = 2`

`(sqrt(a - 3))^2 = (2)^2`

`a - 3 = 4`

`a = 7`

Checking this solution in the original equation we find that it doesn't work. Thus, there is no solution to this equation; it has a solution set `{O/}`

Hopefully this helps!