Question 550849
(n)^(2)+5n-6=0
completing the square
n^2 + 5n + ___ = 6
find the value that completes the square (.5*5)^2 = 6,25, add to both sides
n^2 + 5n + 6.25 = 6 + 6.25
:
(n + 2.5)^2 = 12.25
find the square root of both sides
n + 2.5 = +/-{{{sqrt(12.25)}}}
n + 2.5 = +/- 3.5
two solutions
n = -2.5 + 3.5
n = 1
and
n = -2.5 - 3.5
n = -6