(x+50)/2=13x(2)

Solution for (x+50)/2=13x(2) equation:

(x+50)/2=13x(2)

We move all terms to the left:

(x+50)/2-(13x(2))=0

determiningTheFunctionDomain
(x+50)/2-13x2=0

We add all the numbers together, and all the variables

-13x^2+(x+50)/2=0

We multiply all the terms by the denominator


-13x^2*2+(x+50)=0

Wy multiply elements

-26x^2+(x+50)=0

We get rid of parentheses

-26x^2+x+50=0

a = -26; b = 1; c = +50;
Δ = b2-4ac
Δ = 12-4·(-26)·50
Δ = 5201
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{5201}}{2*-26}=\frac{-1-\sqrt{5201}}{-52}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{5201}}{2*-26}=\frac{-1+\sqrt{5201}}{-52}
$