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Home » Stop Stressing Here: These Simple Peace Quotes Are Your Daily Dose of Serenity and Hope! - Upplift

Stop Stressing Here: These Simple Peace Quotes Are Your Daily Dose of Serenity and Hope! - Upplift

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 âThis Spooky Yotei Map Ghost has Haunted StreamersâHereâs the Shocking Truth!â1. **A quadratic equation is given as \( ax^2 + bx + c = 0 \). If one root is 3 and the sum of the roots is 7, find the other root.

📌 Let the roots be \( r_1 = 3 \) and \( r_2 \).

📌 Given \( r_1 + r_2 = 7 \), we have \( 3 + r_2 = 7 \).

📌 Solving for \( r_2 \), we get \( r_2 = 7 - 3 = 4 \).

📌 The difference between the squares of two consecutive integers is 31. Find the smaller integer.

📌 The difference is \( (n+1)^2 - n^2 = 31 \).

📌 Expanding, we get \( n^2 + 2n + 1 - n^2 = 31 \).

📌 Simplifying, \( 2n + 1 = 31 \).

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