Question

Find the value of x if ${|x+1|}^2$ - 5| $|x+1|$ + 6 = 0

• A. 1
• B. 2
• C. -4
• D. 3

Answer 1

Answer: (A), (B), (C)

The correct options are
A

1

B

2

C

-4

${|x+1|}^2$ - 5$|x+1|$ + 6 is the given equation, we can look at it as a quadratic in$|x+1|$.We will first find the value of$|x+1|$ then the value of x.

$(|x+1|$ - 3)$(|x+1|$ - 2) = 0

$\Rightarrow$$|x+1|$ = 3 or$|x+1|$= 2

$\Rightarrow$ x+1 = $\overline{+}$3 or x+1 =$\overline{+}$2

$\Rightarrow$ x=2 or -4 or x=1 or -3

So the values of x are 1,2,-3 and -4.