(13/24)x=26

Solution for (13/24)x=26 equation:

(13/24)x=26

We move all terms to the left:

(13/24)x-(26)=0


Domain of the equation: 24)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+13/24)x-26=0

We multiply parentheses

13x^2-26=0

a = 13; b = 0; c = -26;
Δ = b2-4ac
Δ = 02-4·13·(-26)
Δ = 1352
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:

$\sqrt{\Delta}=\sqrt{1352}=\sqrt{676*2}=\sqrt{676}*\sqrt{2}=26\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-26\sqrt{2}}{2*13}=\frac{0-26\sqrt{2}}{26}
=-\frac{26\sqrt{2}}{26}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+26\sqrt{2}}{2*13}=\frac{0+26\sqrt{2}}{26}
=\frac{26\sqrt{2}}{26}
=\sqrt{2}
$