(1/3)(x)-171=x

Solution for (1/3)(x)-171=x equation:

(1/3)(x)-171=x

We move all terms to the left:

(1/3)(x)-171-(x)=0


Domain of the equation: 3)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+1/3)x-x-171=0

We add all the numbers together, and all the variables

-1x+(+1/3)x-171=0

We multiply parentheses

x^2-1x-171=0

a = 1; b = -1; c = -171;
Δ = b2-4ac
Δ = -12-4·1·(-171)
Δ = 685
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{685}}{2*1}=\frac{1-\sqrt{685}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{685}}{2*1}=\frac{1+\sqrt{685}}{2}
$