<section class="no-results not-found">
    <header class="page-header">
        <h1 class="page-title"><?php _e( 'Nothing Found', 'twentyseventeen' ); ?></h1>
	</header>
	<div class="page-content">
		<?php if ( is_home() && current_user_can( 'publish_posts' ) ) : ?>

			<p><?php printf( __( 'Ready to publish your first post? <a href="%1$s">Get started here</a>.', 'twentyseventeen' ), esc_url( admin_url( 'post-new.php' ) ) ); ?></p>

		<?php else : ?>

			<p><?php _e( 'It seems we can&rsquo;t find what you&rsquo;re looking for. Perhaps searching can help.', 'twentyseventeen' ); ?></p>
			<?php
			get_search_form();

		endif;
		?>
	</div><!-- .page-content -->
</section><!-- .no-results -->

<section class="no-results not-found">
    <header class="page-header">
        <h1 class="page-title"><?php _e('Nothing Found', 'twentyseventeen'); ?></h1>
	</header>
	<div class="page-content">
		<?php if (is_home() && current_user_can('publish_posts')) : ?>

			<p><?php printf(__('Ready to publish your first post? <a href="%1$s">Get started here</a>.', 'twentyseventeen'), esc_url(admin_url('post-new.php'))); ?></p>

		<?php else : ?>

			<p><?php _e('It seems we can&rsquo;t find what you&rsquo;re looking for. Perhaps searching can help.', 'twentyseventeen'); ?></p>
			<?php

			if (!is_search()):
				get_search_form();
			endif;

		endif;

		?>
	</div><!-- .page-content -->
</section><!-- .no-results -->

Remove search form on search results template
Remove search form on search results template
