Question

Additive inverse of x2 - x + 2 is​

Answer 1

Answer: -x²+x-2

Given:

$\sf x^2-x+2$

To find:

$\sf\text{The additive inverse of} \:\: x^2-x+2$

Explanation:

$\sf\textbf{A number that is when added to the given number gives zero is called}\\\sf\textbf{the Additive Inverse of the given number.}$

$\sf\text{Let that number = y}$

$\sf\text{According to the above explanation,}$

$\Rightarrow\sf x^2-x+2+y=0$

$\Rightarrow\sf y=0-( x^2-x+2)$

$\Rightarrow\sf y=- x^2+x-2$

$\sf\textbf{Therefore, the additive inverse of } \textbf{ \sf x^2-x+2\ is\ - x^2+x-2 }$

$\sf\text{Cross-checking the equation,}$

$\Rightarrow\sf x^2-x+2 -(-x^2+x-2)$

$\Rightarrow\sf x^2-x+2 +x^2-x+2$

$\sf =0$