(1/6)x-x=25

Solution for (1/6)x-x=25 equation:

(1/6)x-x=25

We move all terms to the left:

(1/6)x-x-(25)=0


Domain of the equation: 6)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+1/6)x-x-25=0

We add all the numbers together, and all the variables

-1x+(+1/6)x-25=0

We multiply parentheses

x^2-1x-25=0

a = 1; b = -1; c = -25;
Δ = b2-4ac
Δ = -12-4·1·(-25)
Δ = 101
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{101}}{2*1}=\frac{1-\sqrt{101}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{101}}{2*1}=\frac{1+\sqrt{101}}{2}
$