How do you solve x^2 + 6x = 1?

1 Answer
Mar 9, 2018

x=-3+-sqrt10
x approx 0.16228 or approx-6.16228

Explanation:

x^2+6x=1

x^2+6x-1=0

Apply the quadratic formula:

x= (-6+-sqrt(6^2-4xx1xx(-1)))/(2xx1)

= -3+-sqrt40/2

= -3 +-sqrt(2xx2xx2xx5)/2

=-3+- (2sqrt10)/2

=-3+-sqrt10

x=-3+-sqrt10

x approx 0.16228 or approx-6.16228