Add Twitter Bootstrap icon to Input box

How can we add a Twitter Bootstrap icon icon-search to the right of a text input element?

The following attempt placed all the icons inside the input element, how can we crop it so it only displays the icon for icon-search?

Current Attempt

CSS

input.search-box {
    width: 180px;
    background: #333;
    background-image: url('/img/glyphicons-halflings-white.png');
    background-position: -48px 0;
    padding-left: 30px;
    margin-top: 45px;
    border: 0;
    float: right;
}

Updated Bootstrap 3.x

You can use the .input-group class like this:

<!-- language: lang-html -->

<div class="input-group">
    <input type="text" class="form-control"/>
    <span class="input-group-addon">
        <i class="fa fa-search"></i>
    </span>
</div>

Working Demo in jsFiddle for 3.x

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Bootstrap 2.x

You can use the .input-append class like this:

<!-- language: lang-html -->

<div class="input-append">
    <input class="span2" type="text">
    <button type="submit" class="btn">
        <i class="icon-search"></i>
    </button>
</div>

Working Demo in jsFiddle for 2.x

---

Both will look like this:

If you'd like the icon inside the input box, like this:

Then see my answer to Add a Bootstrap Glyphicon to Input Box