Here is a detailed explanation of the deep meaning of Proverbs 10:11-12 from the New King James Version (NKJV), enriched with other biblical references, real-life applications, and concluding with a prayer.

Proverbs 10:11-12 (NKJV)
11 The mouth of the righteous is a well of life,
But violence covers the mouth of the wicked.
12 Hatred stirs up strife,
But love covers all sins.

These verses, found in the wisdom literature of Proverbs, contrast the righteous and the wicked, focusing on the power of words and the transformative choice between love and hatred. 

Let’s explore their meaning step by step.

Verse 11: The Power of Words
"The mouth of the righteous is a well of life"

Meaning: The "mouth" represents speech, and the "righteous" are those who align their lives with God’s ways. Their words are likened to a "well of life"—a source of refreshment, wisdom, and blessing. 

Just as water from a well sustains physical life, the speech of the righteous nourishes and uplifts others spiritually and emotionally.

Biblical Reference:
This imagery connects to Jesus’ words in John 7:38: "He who believes in Me, as the Scripture has said, out of his heart will flow rivers of living water." 

Those who follow Christ become conduits of life-giving influence through their words and actions.

Real-Life Application:
As believers, we are called to speak words that encourage and edify. 
For example, instead of gossiping about a coworker, we might offer a word of encouragement or pray for them. In everyday conversations, choosing to share hope or wisdom reflects this principle.

But violence covers the mouth of the wicked"
Meaning:
The "wicked" are those who reject God’s ways, and their speech is "covered with violence"—harmful, destructive, and conflict-inducing. Rather than building up, their words tear down and wound others.

Biblical Reference:
James 3:10–12 warns that the tongue can bless or curse, but it shouldn’t be both: "Out of the same mouth proceed blessing and cursing. My brethren, these things ought not to be so." 
This underscores the need for speech that consistently reflects God’s character.

Real-Life Application:
This can manifest as verbal abuse, bullying, or hate speech. As Christians, we should oppose such behavior and promote peace. On social media, for instance, we can choose to post positivity and truth instead of engaging in divisive arguments.

Verse 12: The Choice Between Love and Hatred
"Hatred stirs up strife"
Meaning:
Hatred fuels conflict, division, and discord. When people harbor or express hatred, it escalates tensions and fractures relationships.

Biblical Reference: 
Jesus counters this in Matthew 5:44: "Love your enemies and pray for those who persecute you." This radical call to love prevents strife and fosters peace.

Real-Life Application:
In today’s polarized world—whether political, social, or racial—hatred deepens divides. Christians are called to be peacemakers, choosing empathy and understanding over animosity. 
For example, responding to an insult with kindness can de-escalate a potential conflict.

But love covers all sins"
Meaning:
Love doesn’t ignore sin but chooses forgiveness and reconciliation over bitterness. It "covers" offenses by seeking healing rather than retribution.

Biblical Reference:
1 Peter 4:8 echoes this: "Above all things have fervent love for one another, for ‘love will cover a multitude of sins.’" 
Similarly, 1 Corinthians 13:7 describes love as bearing, believing, hoping, and enduring all things, highlighting its forgiving nature.

Real-Life Application: 
In personal relationships, this might mean forgiving a friend for a past wrong or showing grace to a difficult family member. In a marriage, it’s choosing to love and forgive a spouse despite their flaws, fostering unity over division.

Broader Context of Proverbs
Proverbs, often attributed to King Solomon, is a book of practical wisdom for living a godly life. 
These verses are part of a series of contrasts between the wise (righteous) and the foolish (wicked), illustrating how our words and attitudes shape our lives and communities.

The deep meaning lies in the call to embody righteousness and love, which reflect God’s character.

Real-Life Applications Summary
Mindful Speech: Use words to build up, not tear down. Avoid negativity and instead offer encouragement—e.g., praising a child’s effort rather than criticizing their mistakes.

Conflict Resolution: Choose love over hatred. Forgive quickly, whether it’s a sibling’s slight or a coworker’s oversight, to maintain peace.

Peacemaking: In a divided world, bridge gaps with love. Stand against hate speech and model unity, such as listening to opposing views with respect.

Closing Prayer
Dear Heavenly Father, we thank You for the wisdom of Your Word. As we reflect on Proverbs 10:11-12, we ask that You make our mouths wells of life, speaking words that uplift and encourage others. 
Guard our tongues from harm and violence. When we face conflicts or offenses, help us choose love over hatred, knowing that love covers a multitude of sins. 
Empower us by Your Spirit to forgive as You have forgiven us and to be peacemakers in our homes, workplaces, and communities. 

In Jesus’ name, we pray. Amen.