How do you solve x^2 – 5x – 1 = - 7 using the quadratic formula?

1 Answer
May 13, 2016

x=(5+-sqrt(-23))/4

It has imaginary roots

Explanation:

Given -

x^2-5x-1=-7

Take the constant to the LHS.

2x^2-5x-1+7=0
2x^2-5x+6=0

x=(-b+-sqrt(b^2-4ac))/(2a)
x=(-(-5) +- sqrt((-5)^2-(4xx2xx6)))/(2xx2)
x=(5+-sqrt(25-48))/4
x=(5+-sqrt(-23))/4

It has imaginary roots