(11/10)x=11/12

Solution for (11/10)x=11/12 equation:

(11/10)x=11/12

We move all terms to the left:

(11/10)x-(11/12)=0


Domain of the equation: 10)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+11/10)x-(+11/12)=0

We multiply parentheses

11x^2-(+11/12)=0

We get rid of parentheses

11x^2-11/12=0

We multiply all the terms by the denominator


11x^2*12-11=0

Wy multiply elements

132x^2-11=0

a = 132; b = 0; c = -11;
Δ = b2-4ac
Δ = 02-4·132·(-11)
Δ = 5808
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:

$\sqrt{\Delta}=\sqrt{5808}=\sqrt{1936*3}=\sqrt{1936}*\sqrt{3}=44\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-44\sqrt{3}}{2*132}=\frac{0-44\sqrt{3}}{264}
=-\frac{44\sqrt{3}}{264}
=-\frac{\sqrt{3}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+44\sqrt{3}}{2*132}=\frac{0+44\sqrt{3}}{264}
=\frac{44\sqrt{3}}{264}
=\frac{\sqrt{3}}{6}
$