(13/18)x=39

Solution for (13/18)x=39 equation:

(13/18)x=39

We move all terms to the left:

(13/18)x-(39)=0


Domain of the equation: 18)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+13/18)x-39=0

We multiply parentheses

13x^2-39=0

a = 13; b = 0; c = -39;
Δ = b2-4ac
Δ = 02-4·13·(-39)
Δ = 2028
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:

$\sqrt{\Delta}=\sqrt{2028}=\sqrt{676*3}=\sqrt{676}*\sqrt{3}=26\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-26\sqrt{3}}{2*13}=\frac{0-26\sqrt{3}}{26}
=-\frac{26\sqrt{3}}{26}
=-\sqrt{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+26\sqrt{3}}{2*13}=\frac{0+26\sqrt{3}}{26}
=\frac{26\sqrt{3}}{26}
=\sqrt{3}
$