n^2-10n+56=

Simple and best practice solution for n^2-10n+56= 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^2-10n+56= equation:


Simplifying
n2 + -10n + 56 = 0

Reorder the terms:
56 + -10n + n2 = 0

Solving
56 + -10n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-56' to each side of the equation.
56 + -10n + -56 + n2 = 0 + -56

Reorder the terms:
56 + -56 + -10n + n2 = 0 + -56

Combine like terms: 56 + -56 = 0
0 + -10n + n2 = 0 + -56
-10n + n2 = 0 + -56

Combine like terms: 0 + -56 = -56
-10n + n2 = -56

The n term is -10n.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10n + 25 + n2 = -56 + 25

Reorder the terms:
25 + -10n + n2 = -56 + 25

Combine like terms: -56 + 25 = -31
25 + -10n + n2 = -31

Factor a perfect square on the left side:
(n + -5)(n + -5) = -31

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 3x-6=3x-12 | | 4-4x+x^2-x^3=0 | | 2(5x*2)=495 | | 6(6r-5)=186 | | 12k+3r-5r+16-4k= | | 8x-9=6x | | -5g+2.3=-18 | | -12x+14=-34 | | 4(1x+3)=1x | | (5x^3-6x+8)-(3x^3-9)= | | m^2+10m-24= | | (2x+7)(2x+10)+2x(2x)=342 | | 7e^3x-4=14 | | -91=-7(1-2n) | | 4(m-3)+3m+19=28 | | 152.75=(x+7.80+3.40)13 | | 2(5x)=495 | | 3.3x-4=-13.9 | | 10k^2=49 | | 11m+65=4m+100 | | y=-4x^2-5x+3 | | 7-0.75x=-0.75x+-7 | | 12m-4=5 | | -1+12x=29 | | 9r=5r-34 | | -3=2x-x+2 | | -15=13-6c+c+14.5 | | 3x+3=3+13 | | -2h^2-28h-96=0 | | (2x-5)(x+8)=0 | | 0=x^2+73x+320 | | 4.85+y=2.5 |

Equations solver categories