Math Problem Statement
The product of two consecutive odd natural numbers is 323323. Find the largest number among them.
Solution
Let the two consecutive odd natural numbers be and .
Step 1: Form the equation
The product of the two numbers is given by:
Expanding this equation:
Step 2: Rearrange the equation
Rewrite it as:
Step 3: Solve the quadratic equation
We solve the quadratic equation using the quadratic formula: where , , and .
Step 4: Calculate the discriminant
The discriminant is: [ b
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Formulas
n × (n + 2) = 323323
Quadratic equation formula: n^2 + 2n - 323323 = 0
Quadratic formula: n = (-b ± √(b² - 4ac)) / 2a
Theorems
Quadratic formula
Suitable Grade Level
Grades 9-12
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