Repentance is not a condition to receive Eternal Life.
To receive Eternal Life a person believe that Jesus is the promised Messiah from Old Testament prophecies and trust in Jesus (The Messiah) for the free gift of Jesus Eternal Life.
When a person believes in The Messiah for Eternal Life they immediately are born again (become spiritually alive) and become a child of God. Crossing over from death to Everlasting Life.
Never to cross back over to the spiritual death they received from Adam.
Perhaps you should get acquainted with your Bible. Repentance IS absolutely necessary for salvation!
Jesus preaching:
Mat 3:2
And saying, Repent ye: for the kingdom of heaven is at hand.
Mat 4:17
From that time Jesus began to preach, and to say, Repent: for the kingdom of heaven is at hand.
Mar 1:15
And saying, The time is fulfilled, and the kingdom of God is at hand: repent ye, and believe the gospel.
Luk 13:3
I tell you, Nay: but, except ye repent, ye shall all likewise perish.
Luk 13:5
I tell you, Nay: but, except ye repent, ye shall all likewise perish.
Apostles:
Mar 6:12
And they went out, and preached that men should repent.
Act 2:38
Then Peter said unto them, Repent, and be baptized every one of you in the name of Jesus Christ for the remission of sins, and ye shall receive the gift of the Holy Ghost.
Act 3:19
Repent ye therefore, and be converted, that your sins may be blotted out, when the times of refreshing shall come from the presence of the Lord;
Act 8:22
Repent therefore of this thy wickedness, and pray God, if perhaps the thought of thine heart may be forgiven thee.
Act 17:30
And the times of this ignorance God winked at; but now commandeth all men every where to repent:
Act 26:20
But shewed first unto them of Damascus, and at Jerusalem, and throughout all the coasts of Judaea, and then to the Gentiles, that they should repent and turn to God, and do works meet for repentance.
Jesus warnings in Revelation:
Rev 2:5
Remember therefore from whence thou art fallen, and repent, and do the first works; or else I will come unto thee quickly, and will remove thy candlestick out of his place, except thou repent.
Rev 2:16
Repent; or else I will come unto thee quickly, and will fight against them with the sword of my mouth.
Rev 3:3
Remember therefore how thou hast received and heard, and hold fast, and repent. If therefore thou shalt not watch, I will come on thee as a thief, and thou shalt not know what hour I will come upon thee.
Rev 3:19
As many as I love, I rebuke and chasten: be zealous therefore, and repent.