/2x+4x=13

Solution for /2x+4x=13 equation:

/2x+4x=13

We move all terms to the left:

/2x+4x-(13)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

4x+/2x-13=0

We multiply all the terms by the denominator


4x*2x-13*2x+=0

We add all the numbers together, and all the variables

4x*2x-13*2x=0

Wy multiply elements

8x^2-26x=0

a = 8; b = -26; c = 0;
Δ = b2-4ac
Δ = -262-4·8·0
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-26)-26}{2*8}=\frac{0}{16}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26)+26}{2*8}=\frac{52}{16}
=3+1/4
$