+0

# help plssss

0
86
2

How many solutions are there to the equation
|x| = -1/2 x + 4?

Apr 9, 2022

#1
0

There is only one solution, x = -8.

Apr 9, 2022
#2
+1

If x is positive:

$$x=-\frac{1}{2}x+4$$

$$\frac{3}{2}x = 4$$

$$x = \boxed{\frac{8}{3}}$$

If x is negative:

$$-x = -\frac{1}{2}x+4$$

$$x = \frac{1}{2}x-4$$

$$\frac{1}{2}x=-4$$

$$x = \boxed{-8}$$

There are two solutions: x = 8/3, -8.

Apr 9, 2022