Question
If a positive number exceeds its positive square root by 12, then find the number.
Answer :
Word Count : 407
Problem Statement: If a positive number exceeds its positive square root by 12, then find the number. Understanding the Problem: We need to find a positive number \( x \) such that the number itself is greater than its square root by 12. Mathematically, this can be expressed as: \[ x = \sqrt{x} + 12 \] Step 1: Setting Up the Equation Let's denote the positive number as \( x \). According to the problem: \[ x = \sqrt{x} + 12 \] Step 2: Isolating the Square Root To eliminate the square root, we'll first isolate it on one side of ___ _________ _______ _______ ______ ______ _________.
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Problem Statement: If a positive number exceeds its positive square root by 12, then find the number. Understanding the Problem: We need to find a positive number \( x \) such that the number itself is greater than its square root by 12. Mathematically, this can be expressed as: \[ x = \sqrt{x} + 12 \] Step 1: Setting Up the Equation Let's denote the positive number as \( x \). According to the problem: \[ x = \sqrt{x} + 12 \] Step 2: Isolating the Square Root To eliminate the square root, we'll first isolate it on one side of ___ _________ _______ _______ ______ ______ _________.
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