Questions: Find the real numbers that satisfy the equation below. x=40

Solution Steps

To solve the equation \(|x| = 40\), we need to find the values of \(x\) that make the absolute value of \(x\) equal to 40. The absolute value equation \(|x| = a\) has two solutions: \(x = a\) and \(x = -a\).

The equation given is \(|x| = 40\). The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, \(|x| = a\) implies two possible solutions: \(x = a\) and \(x = -a\).

For the equation \(|x| = 40\), we apply the property of absolute values:

• \(x = 40\)
• \(x = -40\)

Final Answer