2^1/4x+1/2x=44

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

2^1/4x+1/2x=44

We move all terms to the left:

2^1/4x+1/2x-(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


4x^2/8x^2+4x/8x^2-44=0

We multiply all the terms by the denominator


4x^2+4x-44*8x^2=0

Wy multiply elements

4x^2-352x^2+4x=0

We add all the numbers together, and all the variables

-348x^2+4x=0

a = -348; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·(-348)·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*-348}=\frac{-8}{-696}
=1/87
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*-348}=\frac{0}{-696}
=0
$