Question

True or false, an equation with an integer coefficient will always have an integer solution.

Answer 1

False wanna know why?

x^2 - 2 = 2

has integer coefficients 
but the solutions are not integers

Answer 2

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:

$x^2-3=0$

Here the coefficient of x is an integer.

Now find the solution as shown.

$x^2=3$

$x=\pm \sqrt{3}$

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.