What is the negative root of the equation $abs(2x+3)=11$ ?

Question

2749 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-27T05:32:28

$-7$ .

$|2x+3|=11$ .

$:. 2x+3=+-11$ .

$2x+3=+11 rArr 2x=11-3=8 rArr x=4 gt 0$ .

If, $2x+3=-11," then, "2x=-14," giving, "x=-7 lt 0$ .

$:. x=-7$ , is the desired root!

Answer 2 · 2018-08-04T00:41:53

$x=-7$

This equation can be interpreted as

$2x+3=11$ and $2x+3=-11$ , but we are concerned with only the negative root, as the question says.

We have

$2x+3=-11$

We can subtract $3$ from both sides to get

$2x=-14$

Lastly, we can divide both sides by $2$ to isolate $x$ . We get

$x=-7$

Hope this helps!

What is the negative root of the equation abs(2x+3)=11abs(2x+3)=11?