Respuesta :

TSO
x^2 + 11x - 3

What two numbers multiply to -3 and add to 11?

Let's use the quadratic equation:

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

Where the equation is ax^2 + bx + c

[tex]x = \frac{-11\pm \sqrt{11^2-4(1)(-3)}}{2(1)}\\\\x = \frac{-11\pm \sqrt{121+12}}{2}\\\\x = \frac{-11\pm \sqrt{133}}{2}\\\\ \boxed{\bf{x = -\frac{11}{2} + \frac{\sqrt{133}}{2}}}\\\\ \boxed{\bf{x = -\frac{11}{2} - \frac{\sqrt{133}}{2}}}[/tex]

The two boxed values are what multiply to -3 and add to 11.

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