i need help

Question

i need help

anonymous · Answer

$$|4x+3|=9+2x$$

anonymous · Answer

Ok, not too bad. You already have the absolute value function by itself.
For Abs.Val. equations, you have to split it into two separate equations - the positive case (1) and the negative case (2).

$$(1) \rightarrow 4x+3=9+2x$$
$$(2) \rightarrow 4x+3=-(9+2x)$$

anonymous · Answer

Solve each of those and you may get two solutions. It's a good idea to then check all solutions with the original equation to make sure they are both valid.

anonymous · Answer

oh ok..I think i get it know ill try and solve them and check it...When i tried it myself I thought I had to square each side to get the abs. value to go away

anonymous · Answer

No, if one side was a square-root, then squaring each side will solve that.

As a related item of interest:

$$\left|x\right|=\sqrt{x^2}$$

The way of rewriting the absolute value function is sometimes useful.

anonymous · Answer

oh ok thanks i get it know