(11/6)x=10

Solution for (11/6)x=10 equation:

(11/6)x=10

We move all terms to the left:

(11/6)x-(10)=0


Domain of the equation: 6)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+11/6)x-10=0

We multiply parentheses

11x^2-10=0

a = 11; b = 0; c = -10;
Δ = b2-4ac
Δ = 02-4·11·(-10)
Δ = 440
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:

$\sqrt{\Delta}=\sqrt{440}=\sqrt{4*110}=\sqrt{4}*\sqrt{110}=2\sqrt{110}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{110}}{2*11}=\frac{0-2\sqrt{110}}{22}
=-\frac{2\sqrt{110}}{22}
=-\frac{\sqrt{110}}{11}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{110}}{2*11}=\frac{0+2\sqrt{110}}{22}
=\frac{2\sqrt{110}}{22}
=\frac{\sqrt{110}}{11}
$