X-2(180)/x=165

Solution for X-2(180)/x=165 equation:

X-2(180)/X=165

We move all terms to the left:

X-2(180)/X-(165)=0


Domain of the equation: X!=0

X∈R


We multiply all the terms by the denominator


X*X-165*X-2180=0

We add all the numbers together, and all the variables

-165X+X*X-2180=0

Wy multiply elements

X^2-165X-2180=0

a = 1; b = -165; c = -2180;
Δ = b2-4ac
Δ = -1652-4·1·(-2180)
Δ = 35945
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{-(-165)-\sqrt{35945}}{2*1}=\frac{165-\sqrt{35945}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-165)+\sqrt{35945}}{2*1}=\frac{165+\sqrt{35945}}{2}
$