n-2/n*180=172

Simple and best practice solution for n-2/n*180=172 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/n*180=172 equation:



n-2/n*180=172
We move all terms to the left:
n-2/n*180-(172)=0
Domain of the equation: n*180!=0
n!=0/1
n!=0
n∈R
We multiply all the terms by the denominator
n*n*180-172*n*180-2=0
Wy multiply elements
180n^2*1-30960n*1-2=0
Wy multiply elements
180n^2-30960n-2=0
a = 180; b = -30960; c = -2;
Δ = b2-4ac
Δ = -309602-4·180·(-2)
Δ = 958523040
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{958523040}=\sqrt{144*6656410}=\sqrt{144}*\sqrt{6656410}=12\sqrt{6656410}$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30960)-12\sqrt{6656410}}{2*180}=\frac{30960-12\sqrt{6656410}}{360} $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30960)+12\sqrt{6656410}}{2*180}=\frac{30960+12\sqrt{6656410}}{360} $

See similar equations:

| 3/1x3.4=3/1x1/3x | | 6x+17=4x+5 | | 5x-2.6=-7.6 | | n-2*180/n=172 | | 20+6w=-13w-18 | | 15n^-n=2 | | 2x^2+8x-4=2 | | -11=-6+x/5 | | /x^2=225 | | 3x(x+3)(2x-5)=0 | | x/3-¼=-⅔* | | -4q+3=-2q+8+7 | | -22=29+2x | | 2/1/4+y=5/3/4 | | 13x+8=-7x-3 | | -x/2-10=1 | | -33+10x=87 | | b/4+14=-6 | | -11=2p | | -33+10x=87 | | 5s=6s+17 | | -5b-12=-22 | | 6x−21+8x+27=180 | | 15/x=195/182 | | 2x+15=x+8=-7 | | -15x-50=-290 | | 9k=10-k;1 | | -3t=6-t | | -2m-4=6-4m | | –5u+–32=48 | | z+1/20=-7/12 | | x/17=24/68 |

Equations solver categories