(13/6)x=13

Solution for (13/6)x=13 equation:

(13/6)x=13

We move all terms to the left:

(13/6)x-(13)=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

(+13/6)x-13=0

We multiply parentheses

13x^2-13=0

a = 13; b = 0; c = -13;
Δ = b2-4ac
Δ = 02-4·13·(-13)
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-26}{2*13}=\frac{-26}{26}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+26}{2*13}=\frac{26}{26}
=1
$