Math Problem Statement

Solve the system of equations: x^2 + y^2 = 16 and x^2 - y^2 = 16.

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Systems of Equations
Quadratic Equations

Formulas

Difference of squares: a^2 - b^2 = (a + b)(a - b)
Circle equation: x^2 + y^2 = r^2

Theorems

Pythagorean Theorem
Symmetry properties of conic sections

Suitable Grade Level

Grades 9-12

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