Answer to Question #239026 in Algebra for hadassa

Question

thabiso claims that if x is a natural number, therefor x²+x will always be an even number.is thabiso correct? explain your answer.

Answer 1

This is correct

Explanation

$x\\^2 + x\\ =x(x + 1) \\$

Because $x\$ is odd number,

so $x + 1$ , is even number but any natural number multiplied by even number equals to an even number. Therefore, multiplying $x \times (x + 1)$ will give an even number, hence $x\\^2 + x$ will always be an even number.