DaricA319065 DaricA319065
  • 27-10-2022
  • Mathematics
contestada

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

Respuesta :

NorlanN210956 NorlanN210956
  • 27-10-2022

ANSWER:

STEP-BY-STEP EXPLANATION:

[tex]9x+4x^2=7+8y[/tex]

Solving for x

[tex]\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}[/tex]

solve for y:

[tex]\begin{gathered} 9x+4x^2-7=7+8y-7 \\ 8y=4x^2+9x-7 \\ y=\frac{4x^2+9x-7}{8} \end{gathered}[/tex]

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