Question

solve eavh equation. check for extraneous solutions|x-1|=5x+10how would i start this problem? what would i do specifically with the 5x on the right side of the problem?

Answer 1

The vaalues of x are -3/2 and -11/4

Explanation:

Given the following equation

|x -1| = 5x + 10

Note: |x - 1 | is an absolute value

An absolute value can either be positive or negative

Hence, |x - 1 | can be -(x - 1) or (x - 1)

-(x - 1) = 5x + 10

open the parenthesis

-x + 1 = 5x + 10

collect the like terms

-x - 5x = 10 - 1

-6x = 9

isolate x

x = 9/-6

x = -3/2

(x - 1) = 5x + 10

open the parenthesi

x - 1 = 5x + 10

collect the like terms

x - 5x = 10 + 1

-4x = 11

isolate x

x = -11/4

Therefore, the value of x are -3/2 and -11/4