Question

Without solving explain why the equations do not have solutions​

Answer 1

Examining the equation

We have 2 terms:

`√(x+2)` and
`√(4x+1)`

For the sum of these to equal a negative number, in this case -3, one of these terms would have to be negative.

So what's the problem?

The function
`√(x)` (square root of x) only returns positive values!

(See the attached image for a graph of
`√(x)`)

Since neither of the terms can be negative, it can't be equal to -3. In other words, no matter what we put as
`x`, we can't solve the solution, so we say that the equation does not have any solutions.