solve for x, 3^2root4 - 4(3^2rootx) = -3

Answer 1

I believe you mean the actual question is like this

If 3^4√2 - 4(3^2√x) = -3; find x

3^4√2 - 4(3^2√x) + 3 = 0 (convert it to quadratic form)

Lets say 3^2√x = a; our new equation will be;

a² - 4a +3 = 0

Factor this polynomial;

a² gives us a*a

3 gives us -3*-1 (we choose that factors because when you combine them you get -4)

a² - 4a +3 = (a-3)(a-1)

when you solve right part for a

you get a = 3, a = 1

If 3^2√x = a; plug a values in the equation and find x values