(11/21)x=1188

Solution for (11/21)x=1188 equation:

(11/21)x=1188

We move all terms to the left:

(11/21)x-(1188)=0


Domain of the equation: 21)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+11/21)x-1188=0

We multiply parentheses

11x^2-1188=0

a = 11; b = 0; c = -1188;
Δ = b2-4ac
Δ = 02-4·11·(-1188)
Δ = 52272
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:

$\sqrt{\Delta}=\sqrt{52272}=\sqrt{17424*3}=\sqrt{17424}*\sqrt{3}=132\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-132\sqrt{3}}{2*11}=\frac{0-132\sqrt{3}}{22}
=-\frac{132\sqrt{3}}{22}
=-6\sqrt{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+132\sqrt{3}}{2*11}=\frac{0+132\sqrt{3}}{22}
=\frac{132\sqrt{3}}{22}
=6\sqrt{3}
$