9/11x+1/2x+3=5

Solution for 9/11x+1/2x+3=5 equation:

9/11x+1/2x+3=5

We move all terms to the left:

9/11x+1/2x+3-(5)=0


Domain of the equation: 11x!=0

x!=0/11

x!=0

x∈R



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

9/11x+1/2x-2=0

We calculate fractions


18x/22x^2+11x/22x^2-2=0

We multiply all the terms by the denominator


18x+11x-2*22x^2=0

We add all the numbers together, and all the variables

29x-2*22x^2=0

Wy multiply elements

-44x^2+29x=0

a = -44; b = 29; c = 0;
Δ = b2-4ac
Δ = 292-4·(-44)·0
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(29)-29}{2*-44}=\frac{-58}{-88}
=29/44
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29)+29}{2*-44}=\frac{0}{-88}
=0
$