(11/24)x-x=26

Solution for (11/24)x-x=26 equation:

(11/24)x-x=26

We move all terms to the left:

(11/24)x-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

(+11/24)x-x-26=0

We add all the numbers together, and all the variables

-1x+(+11/24)x-26=0

We multiply parentheses

11x^2-1x-26=0

a = 11; b = -1; c = -26;
Δ = b2-4ac
Δ = -12-4·11·(-26)
Δ = 1145
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{1145}}{2*11}=\frac{1-\sqrt{1145}}{22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{1145}}{2*11}=\frac{1+\sqrt{1145}}{22}
$