What does the Bible say about how righteousness is attained?

According to Romans 9:30-33, righteousness is attained through faith, as demonstrated by the Gentiles who believed the gospel. They did not seek acceptance with God through their own works, but rather realized that true righteousness is given to them through faith in Jesus Christ. This faith in Christ's completed work is the means by which sinners are justified and declared righteous before God. It teaches that we cannot achieve righteousness on our own; it must be received as a gift through the grace of God.