X=(x-3/11)

Solution for X=(x-3/11) equation:

X=(X-3/11)

We move all terms to the left:

X-((X-3/11))=0

We add all the numbers together, and all the variables

X-((+X-3/11))=0

We multiply all the terms by the denominator


X*11))-((+X-3=0

We add all the numbers together, and all the variables

X+X*11))-((-3=0

Wy multiply elements

11X^2+X-3=0

a = 11; b = 1; c = -3;
Δ = b2-4ac
Δ = 12-4·11·(-3)
Δ = 133
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{133}}{2*11}=\frac{-1-\sqrt{133}}{22}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{133}}{2*11}=\frac{-1+\sqrt{133}}{22}
$