Answer:
Equation A doesn't have a rational solution
Step-by-step explanation:
Notice that the solutions for equation A is:
![x^2=2\\x=+/- \sqrt{2}](https://tex.z-dn.net/?f=x%5E2%3D2%5C%5Cx%3D%2B%2F-%20%5Csqrt%7B2%7D)
and
is an irrational number
The other equations have rational solutions:
Equation B: x = 1 and x = -1 are solutions (both rational numbers)
Equation C: x = 0 is the solution (rational number)
Equation D : x = 0 is the solution. (rational number)