11x+2/3x=15

Solution for 11x+2/3x=15 equation:

11x+2/3x=15

We move all terms to the left:

11x+2/3x-(15)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We multiply all the terms by the denominator


11x*3x-15*3x+2=0

Wy multiply elements

33x^2-45x+2=0

a = 33; b = -45; c = +2;
Δ = b2-4ac
Δ = -452-4·33·2
Δ = 1761
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{-(-45)-\sqrt{1761}}{2*33}=\frac{45-\sqrt{1761}}{66}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+\sqrt{1761}}{2*33}=\frac{45+\sqrt{1761}}{66}
$