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enot [183]
3 years ago
14

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

Mathematics
2 answers:
Naily [24]3 years ago
6 0
False wanna know why?

x^2 - 2 = 2

has integer coefficients 
but the solutions are not integers
Sonja [21]3 years ago
5 0

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.

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