How do you solve x^2-5x-1 = 0 using the quadratic formula?

1 Answer
Apr 14, 2016

x_1=0,195
x_2=5,195

Explanation:

ax^2+bx+c=0

x_"1,2"=(-b±sqrt(b^2-4*a*c))/(2*a)" the quadratic formula"

x^2-5x-1=0

a=1" "b=-5" "c=-1

Delta=sqrt(b^2-4*a*c)

Delta=sqrt(25+4*1*1)

Delta=±5,39

x_1=(-b-Delta)/(2*a)

x_1=(5-5,39)/(2*1)

x_1=(0,39)/2

x_1=0,195

x_2=(-b+Delta)/(2*a)

x_2=(5+5,39)/2

x_2=(10,39)/2

x_2=5,195