# How do you solve #abs(x^2-2x-3) = sqrt (2- lnx)#?

##### 1 Answer

#### Explanation:

The best way to solve this equation is using an iterative method, after knowing the initial trials. The initial iterations can be found after plotting the curves

this plot will cover the interval

We now will perform a series of algebraic transformations into the original problem, in order to remove handling difficulties.

First after squaring both equation terms, we consider

and now we call

Supposing we know an initial guess

but we need that

From the plot we propose first

and obtain successively

and also

obtaining successively

This way we obtained the equation solution within 6 sd!

Attached a plot with