To solve the equation, we need to isolate x by squaring both sides of the equation:

(х^2-3х+5) = 1

Now, √(х^2-3х+5) = ±1

Square both sides:

х^2-3х+5 = 1

Rearrange the equation:

х^2 - 3х + 4 = 0

Now, we can solve this quadratic equation by using the quadratic formula:

x = (-(-3) ± √((-3)^2 - 414))/2*1

x = (3 ± √(9 - 16))/2

x = (3 ± √(-7))/2

Since the square root of a negative value is not real, the equation has no real solutions.