Question

9x + 4 x^2 = 7+ 8ysolve for x and y

Answer 1

Explanation:

`9x+4x^2=7+8y`

Solving for x

`\begin{gathered} 9x+4x^2-7-8y=7+8y-7-8y \\ 4x^2+9x-7-8y=0 \\ \text{ By means of the general equation} \\ x=\frac{-9\pm\sqrt[]{9^2-4\cdot4\cdot(-7-8y)}}{4\cdot2} \\ x=\frac{-9\pm\sqrt[]{128y+193}}{8} \end{gathered}`

solve for y:

`\begin{gathered} 9x+4x^2-7=7+8y-7 \\ 8y=4x^2+9x-7 \\ y=(4x^2+9x-7)/(8) \end{gathered}`