Question

How do you solve `|4q + 9| = 2q - 1`?

Answer 1

The equation has no solutions.

Explanation:

`|4q + 9| = 2q - 1=(4q)/2+9/2-9/2-1=1/2(4q+9)-11/2`

Now, for `abs(4q+9) ne 0`

`1=1/2(4q+9)/abs(4q+9)-11/2 1/abs(4q+9)=pm1/2-11/2 1/abs(4q+9)`

so we have two possibilities

1) `1+1/2=-11/2 1/abs(4q+9)` which is not feasible
2) `1-1/2=-11/2 1/abs(4q+9)` which is also not feasible

so, no solutions