X-1/6x=85

Simple and best practice solution for X-1/6x=85 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 X-1/6x=85 equation: 



X-1/6X=85

We move all terms to the left:

X-1/6X-(85)=0



Domain of the equation: 6X!=0

X!=0/6

X!=0

X∈R



We multiply all the terms by the denominator


X*6X-85*6X-1=0

Wy multiply elements

6X^2-510X-1=0

a = 6; b = -510; c = -1;
Δ = b2-4ac
Δ = -5102-4·6·(-1)
Δ = 260124
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:


$\sqrt{\Delta}=\sqrt{260124}=\sqrt{4*65031}=\sqrt{4}*\sqrt{65031}=2\sqrt{65031}$


$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-510)-2\sqrt{65031}}{2*6}=\frac{510-2\sqrt{65031}}{12}
$


$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-510)+2\sqrt{65031}}{2*6}=\frac{510+2\sqrt{65031}}{12}
$

See similar equations:

| n^2+n-112=0 | | 10(g+2)=70 | | -4(3m-3)=-2(m-2) | | 3x+9=1/4x-4 | | 3t-7/6+2-6t/3=1-7t/8 | | 6/24=x/6 | | -x-112=-11x+178 | | 36=6(u-82) | | 1.5x+x=3846.16 | | j+21/8=5 | | 8q-5=5q=20 | | 3(x-5)=5(x+1)=4 | | 10x-83=6x+89 | | 8=n+20/5 | | 8(2x–1)–5x=25 | | 3(y-3)-5y=-15 | | 4x-6x=3+10 | | -2(3x-1)=26 | | 3(x-7)/5=-2x | | X²+x-182=0 | | -6+5w=-36 | | .2(x-6)=3x-2(x-1)+(44/5) | | 3(y-3)5y=-15 | | 1/4/x=5/1.2 | | 3(y-3)5-y=-15 | | 6=22-4s | | 163-w=287 | | 3x+x-4=3x+7 | | 4(r-1)=10+(r-5) | | 7(r+1)=70 | | 3x+10=7(x+2)-12 | | (-x+2)2-(2x+7)2=0 |

Equations solver categories