Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 08, 2023

Solve the absolute value equation $-4|8-5n| = 13$ .

STEP 1

Assumptions1. The given equation is $-4|8-5n|=13$ . The absolute value, $|8-5n|$ , is always positive or zero3. We need to solve the equation for $n$

STEP 2

First, we need to isolate the absolute value on one side of the equation. We can do this by dividing both sides by $-4$ .
$|-4|8-5n|| = \frac{13}{-4}$

STEP 3

Calculate the right side of the equation.
$|8-5n| = \frac{13}{-} = -3.25$

STEP 4

Since the absolute value is always positive or zero, and the right side of the equation is negative, there are no solutions to the equation.

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