Question

3. Which of the following equations does not

have a rational solution?
(A) x*x= 2
(B) x*x=1
(C) x*x=0
(D) x+x=0

Answer 1

A I think I’m not sure

Answer 2

Equation A doesn't have a rational solution

Explanation:

Notice that the solutions for equation A is:

`x^2=2\\x=+/- √(2)`

and
`√(2)` 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)