The quadratic equation:
[tex]18-4x-5x^2=3[/tex]in standard form is:
[tex]-5x^2-4x+15=0[/tex]Explanation:The standard form of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex]Given the quadratic equation:
[tex]18-4x-5x^2=3[/tex]Subtract 3 from both sides
[tex]\begin{gathered} 18-3-4x-5x^2=0 \\ 15-4x-5x^2=0 \end{gathered}[/tex]Rearranging the powers of x from the highest to the lowest, we have:
[tex]-5x^2-4x+15=0[/tex]