X-6+(1/3)x=180

Solution for X-6+(1/3)x=180 equation:

X-6+(1/3)X=180

We move all terms to the left:

X-6+(1/3)X-(180)=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

X+(+1/3)X-6-180=0

We add all the numbers together, and all the variables

X+(+1/3)X-186=0

We multiply parentheses

X^2+X-186=0

a = 1; b = 1; c = -186;
Δ = b2-4ac
Δ = 12-4·1·(-186)
Δ = 745
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{745}}{2*1}=\frac{-1-\sqrt{745}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{745}}{2*1}=\frac{-1+\sqrt{745}}{2}
$