Respuesta :

Quadratic formula is represented by:

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

Information given:

a=2

b=2

c=-12

Then, we have to substitute each term in the quadratic formula:

[tex]x=\frac{-2\pm\sqrt[]{2^2-4(2)(-12)}}{2(2)}[/tex]

Solve for x1:

[tex]\begin{gathered} x_1=\frac{-2+\sqrt[]{4+96}}{4}=\frac{-2+\sqrt[]{100}}{4} \\ x_1=\frac{-2+10}{4}=\frac{8}{4}=2 \end{gathered}[/tex]

For x2:

[tex]\begin{gathered} x_1=\frac{-2-\sqrt[]{4+96}}{4}=\frac{-2-\sqrt[]{100}}{4} \\ x_2=\frac{-2-10}{4}=-\frac{12}{4}=3 \end{gathered}[/tex]

So, x1=2 and x2=3

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