Solve Absolute Value Equation |(2x + 1)|/|(3x + 4)| = 1

[mathdad]

Solve the absolute value equation.

|(2x + 1)|/|(3x + 4)| = 1

 

[topsquark]

Solve the absolute value equation.

|(2x + 1)|/|(3x + 4)| = 1

Hint: What's the first thing you do to solve the equation [math]\dfrac{5}{x} = 1[/math] ?

-Dan

 

[mathdad]

Hint: What's the first thing you do to solve the equation [math]\dfrac{5}{x} = 1[/math] ?

-Dan

In the equation 5/x = 1, the first thing we do is multiply both sides of the equation by x to remove the fraction on the left side.

Are you saying that I must multiply both sides of the posted question by | x |?

 

[MarkFL]

In the equation 5/x = 1, the first thing we do is multiply both sides of the equation by x to remove the fraction on the left side.

Are you saying that I must multiply both sides of the posted question by | x |?

Will that allow you to divide out the denominator on the LHS?

 

[mathdad]

Someone suggested for me to square both sides.

After doing so, I got

4x^2 + 4x + 1 = 9x^2 + 24x + 16
0 = 5x^2 + 20x + 15
0 = x^2 + 4x + 3

x = -3, -1