2(1)/(4)x+(1)/(2)x=44

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Solution for 2(1)/(4)x+(1)/(2)x=44 equation:



2(1)/(4)x+(1)/(2)x=44
We move all terms to the left:
2(1)/(4)x+(1)/(2)x-(44)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
We calculate fractions
42x/8x^2+4x/8x^2-44=0
We multiply all the terms by the denominator
42x+4x-44*8x^2=0
We add all the numbers together, and all the variables
46x-44*8x^2=0
Wy multiply elements
-352x^2+46x=0
a = -352; b = 46; c = 0;
Δ = b2-4ac
Δ = 462-4·(-352)·0
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(46)-46}{2*-352}=\frac{-92}{-704} =23/176 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(46)+46}{2*-352}=\frac{0}{-704} =0 $

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