Question

Write an equation for the given statement: A number multiplied by itself is $12$ more than the number.

Answer 1

Forming an equation

Equation : An equation is made up of two expressions connected by equals sign $\text{'}=\text{'}$.

Let the number be $x$.

A number is multiplied by itself means $x$ is multiplied by $x$.

$12$ more than the number means $12$ is added to the number $x$.

According to the statement,

$\begin{array}{rcl}x\times x& =& 12+x\\ x^2& =& 12+x\end{array}$

Therefore, the equation is $\begin{array}{rcl}{x}^2& =& 12+x\end{array}$.