Question

Solve for all values of x in simplest form. 2 + |5 + 4x| = 11

Answer 1

Simplify the equation 2+|5+4x|=11 to obtain the value of x.

`\begin{gathered} 2+|5+4x|=11 \\ |5+4x|=9 \end{gathered}`

So equation |5+4x|=9 can be simplified as,

5+4x=9 and 5+4x=-9.

Simplify the equation 5+4x=9 to obtain the value of x.

`\begin{gathered} 5+4x=9 \\ 4x=9-5 \\ 4x=4 \\ x=1 \end{gathered}`

Simlify the equation 5+4x=-9 t obtain the value of x.

`\begin{gathered} 5+4x=-9 \\ 4x=-14 \\ x=(-14)/(4) \\ =(-7)/(2) \end{gathered}`

So values of x is 1 and -7/4.