Respuesta :
False wanna know why?
x^2 - 2 = 2
has integer coefficients
but the solutions are not integers
x^2 - 2 = 2
has integer coefficients
but the solutions are not integers
Answer:
The statement is false.
Step-by-step explanation:
Consider the provided statement.
An equation with an integer coefficient will always have an integer solution.
Let's understand this with the help of an example:
[tex]x^2-3=0[/tex]
Here the coefficient of x is an integer.
Now find the solution as shown.
[tex]x^2=3[/tex]
[tex]x=\pm \sqrt{3}[/tex]
Hence the solution for the equation is ±√3.
As we know √3 is an irrational number and it is not an integer,
Therefore, the above statement is false.