# What is the solution set for the equation #sqrt(5x+29)=x+3#?

##### 1 Answer

Jan 2, 2017

#### Answer:

There is no real solution.

#### Explanation:

By convention ( definition or tradition or practice ),

Also,

Here,

Also,

Squaring both sides,

The zeros are complex.

So, there is no real solution.

In the Socratic graph, see that the graph does not cut the x-axis,

Look at the dead end at

graph{sqrt(5x+3)-x-3 [-15.06, 15.07, -7.53, 7.53]}