X-(2/11*x)=666

Solution for X-(2/11*x)=666 equation:

X-(2/11X)=666

We move all terms to the left:

X-(2/11X)-(666)=0


Domain of the equation: 11X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(+2/11X)-666=0

We get rid of parentheses

X-2/11X-666=0

We multiply all the terms by the denominator


X*11X-666*11X-2=0

Wy multiply elements

11X^2-7326X-2=0

a = 11; b = -7326; c = -2;
Δ = b2-4ac
Δ = -73262-4·11·(-2)
Δ = 53670364
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:

$\sqrt{\Delta}=\sqrt{53670364}=\sqrt{4*13417591}=\sqrt{4}*\sqrt{13417591}=2\sqrt{13417591}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7326)-2\sqrt{13417591}}{2*11}=\frac{7326-2\sqrt{13417591}}{22}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7326)+2\sqrt{13417591}}{2*11}=\frac{7326+2\sqrt{13417591}}{22}
$