Question

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:

Answer 1

`\begin{gathered} x^2-2x=63 \\ \\ x^2-2x-63=0 \end{gathered}`

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

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