Question

solve: n^2-4n+1=5

Answer 1

Reorder the terms:
-1 + -4n + n2 = 0

Answer 2

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + -4n + 1 + n2 = 0 + 1

Answer 3

Reorder the terms:
-1 + 1 + -4n + n2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4n + n2 = 0 + 1
-4n + n2 = 0 + 1

Answer 4

Combine like terms: 0 + 1 = 1
-4n + n2 = 1

The n term is -4n. Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4n + 4 + n2 = 1 + 4

Reorder the terms:
4 + -4n + n2 = 1 + 4

Combine like terms: 1 + 4 = 5
4 + -4n + n2 = 5

Factor a perfect square on the left side:
(n + -2)(n + -2) = 5

Calculate the square root of the right side: 2.236067978

Answer 5

This is not my knowledge, this is from a question pervasively asked on Openstudy