n^2-8n+55=0

Simple and best practice solution for n^2-8n+55=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for n^2-8n+55=0 equation:


Simplifying
n2 + -8n + 55 = 0

Reorder the terms:
55 + -8n + n2 = 0

Solving
55 + -8n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-55' to each side of the equation.
55 + -8n + -55 + n2 = 0 + -55

Reorder the terms:
55 + -55 + -8n + n2 = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -8n + n2 = 0 + -55
-8n + n2 = 0 + -55

Combine like terms: 0 + -55 = -55
-8n + n2 = -55

The n term is -8n.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8n + 16 + n2 = -55 + 16

Reorder the terms:
16 + -8n + n2 = -55 + 16

Combine like terms: -55 + 16 = -39
16 + -8n + n2 = -39

Factor a perfect square on the left side:
(n + -4)(n + -4) = -39

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| (28x-8)=7x-2 | | bx-3x=b^2-4b+3 | | a^2=b^2+3 | | 9x+10=6x+58 | | 3(x-3)=180/12 | | 7p-4=32 | | x^2-60x+180=0 | | 3x+5x-4=0 | | (3x-3)=6x+5 | | -9x^2-3=0 | | ax+4x=a^2+7a+12 | | -5(3x-7)=100 | | 1.5/5.5 | | 4x+2y+5=3 | | 6(x+4)=x-11 | | 41-2x(8-7x)=31+4 | | ((5x)^(5/2)(x)^(-4/5))/sqrt(5x^3) | | 41-2x(8-7x)= | | 80x^2+660x+1200=0 | | 5p^2+6=-31p | | g=m*a-t | | 4x^2+33x+60=0 | | g=ma-t | | 1/4b=-12 | | 0.25*x=16 | | 7x+4y-4x+3y= | | 4xy-x^4-y^4= | | Y=-0.05x^2+x+6 | | 3k^2-32=20k | | x^4-109x^2+900=0 | | log(x+6)-2*log(x-3)=1 | | (3+4y)-(2x+7y-1)= |

Equations solver categories