Use the quadratic formula to solve x² - 2x = 63. Show your work. Then describe the type of solution(s).(You must use the quadratic formula to solve).swer:

Respuesta :

[tex]\begin{gathered} x^2-2x=63 \\ \\ x^2-2x-63=0 \end{gathered}[/tex]

Solution: x1 =9 x2 = - 7

In that case, we identify values of a, b and c

a = 1

b = -2

c = -63

Let's use the quadratic formula

[tex]\begin{gathered} x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ \\ x\text{ }=\text{ }\frac{2\text{ }\pm\sqrt{(-2)^2-4(1)(-63)}}{2(1)} \\ \\ x\text{ = }\frac{2\pm\sqrt{4+252}}{2} \\ \\ x\text{ }=\text{ }\frac{2\pm16}{2} \\ \\ x_1\text{ }=\frac{18}{2}\text{ } \\ x_1=9 \\ x_2\text{ }=\text{ }\frac{-14}{2} \\ x_2=-7 \end{gathered}[/tex]