Given y^2 = 100 -x^2, (s - y)^2 = 36 - x^2, (s - x)^2 = 196 - (s - y)^2, evaluate x, y, s
You asked:
Given \( {y}^{2} = 100 - {x}^{2} \), \( {\left( s - y \right)}^{2} = 36 - {x}^{2} \), \( {\left( s - x \right)}^{2} = 196 - {\left( s - y \right)}^{2} \), evaluate \( x \), \( y \), \( s \).
MathBot Answer:
The system of equations has \(4\) solutions.
\[s = -8, x = 6, y = -8\]\[s = 8, x = -6, y = 8\]\[s = - 2 \sqrt{58}, x = - \frac{9 \sqrt{58}}{29}, y = - \frac{37 \sqrt{58}}{29}\]\[s = 2 \sqrt{58}, x = \frac{9 \sqrt{58}}{29}, y = \frac{37 \sqrt{58}}{29}\]