solve 3x²+2y²=9 and 4x²+2y=10 find x
You asked:
Solve the equations \[\begin{aligned}3 {x}^{2} + 2 {y}^{2} &= 9\\4 {x}^{2} + 2 y &= 10\end{aligned}\] for the unknown \(x\).
MathBot Answer:
The system of equations has \(4\) solutions.
\[x = - \frac{\sqrt{2} \sqrt{\frac{37}{8} - \frac{\sqrt{57}}{8}}}{2}, y = \frac{3}{8} + \frac{\sqrt{57}}{8}\]\[x = \frac{\sqrt{2} \sqrt{\frac{37}{8} - \frac{\sqrt{57}}{8}}}{2}, y = \frac{3}{8} + \frac{\sqrt{57}}{8}\]\[x = - \frac{\sqrt{2} \sqrt{\frac{\sqrt{57}}{8} + \frac{37}{8}}}{2}, y = \frac{3}{8} - \frac{\sqrt{57}}{8}\]\[x = \frac{\sqrt{2} \sqrt{\frac{\sqrt{57}}{8} + \frac{37}{8}}}{2}, y = \frac{3}{8} - \frac{\sqrt{57}}{8}\]