a=3.302-1200b and b=0.006(1+a/6)^2 solve for a and b
You asked:
Given \( a = 3.302 - 1200 b \), \( b = 0.006 \cdot {\left( 1 + \frac{a}{6} \right)}^{2} \), evaluate \( a \), \( b \).
MathBot Answer:
The system of equations has \(2\) solutions.
\[a = - \frac{17}{2} - \frac{\sqrt{1319}}{5}, b = \frac{\sqrt{1319}}{6000} + \frac{1967}{200000}\]\[a = - \frac{17}{2} + \frac{\sqrt{1319}}{5}, b = \frac{1967}{200000} - \frac{\sqrt{1319}}{6000}\]