Math Problem Statement

(x1)232\frac{\left(x-1\right)^2}{3^2}+(y5)242\frac{\left(y-5\right)^2}{4^2}=1 solve for x

Solution

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Math Problem Analysis

Mathematical Concepts

Ellipses
Algebra
Coordinate Geometry

Formulas

Equation of an ellipse: \(\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1\)
Square root property

Theorems

Standard form of the equation of an ellipse
Pythagorean theorem (implicit in understanding ellipses)

Suitable Grade Level

Grades 10-12