MelaniaLOL6763 MelaniaLOL6763
  • 19-08-2020
  • Mathematics
contestada

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

Respuesta :

ciana46 ciana46
  • 19-08-2020
A I think I’m not sure
Answer Link
mberisso
mberisso mberisso
  • 19-08-2020

Answer:

Equation A doesn't have a rational solution

Step-by-step explanation:

Notice that the solutions for equation A is:

[tex]x^2=2\\x=+/- \sqrt{2}[/tex]

and [tex]\sqrt{2}[/tex] 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)

Answer Link

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