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

1 Answer
Feb 16, 2016

Answer:

Solution is #6# and #1#

Explanation:

For an equation #ax^2+bx+c=0#, quadratic formula gives the solution as #(-b+-sqrt(b^2-4ac))/(2a)#.

As in the given equation #x^2-7x-1=-7# or #x^2-7x+6=0# i.e. #a=1, b=-7# and #c=6#

Solution is given by #(-(-7)+-sqrt((-7)^2-4*1.6))/(2*1)# or

#(7+-sqrt(49-24))/2# or #(7+-sqrt25)/2# or #(7+-5)/2#

Hence solution is #6# and #1#