Respuesta :

Given a quadratic equation with the following form

[tex]y=ax^2+bx+c[/tex]

The quadratic equation is

[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]

The equation given is

[tex]y=x^2-5x-14[/tex]

Our coefficients are

[tex]\begin{gathered} a=1 \\ b=-5 \\ c=-14 \end{gathered}[/tex]

Rewritting the quadratic formula using those values, we have:

[tex]x=\frac{-(-5)\pm\sqrt[]{(-5)^2-4(1)(-14)}}{2(1)}[/tex]