22/5x+11/2x=29

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Solution for 22/5x+11/2x=29 equation: 



22/5x+11/2x=29

We move all terms to the left:

22/5x+11/2x-(29)=0



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R





Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



We calculate fractions


44x/10x^2+55x/10x^2-29=0

We multiply all the terms by the denominator


44x+55x-29*10x^2=0

We add all the numbers together, and all the variables

99x-29*10x^2=0

Wy multiply elements

-290x^2+99x=0

a = -290; b = 99; c = 0;
Δ = b2-4ac
Δ = 992-4·(-290)·0
Δ = 9801
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9801}=99$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(99)-99}{2*-290}=\frac{-198}{-580}
=99/290
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(99)+99}{2*-290}=\frac{0}{-580}
=0
$

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