8/5x+x=273

Solution for 8/5x+x=273 equation:

8/5x+x=273

We move all terms to the left:

8/5x+x-(273)=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We add all the numbers together, and all the variables

x+8/5x-273=0

We multiply all the terms by the denominator


x*5x-273*5x+8=0

Wy multiply elements

5x^2-1365x+8=0

a = 5; b = -1365; c = +8;
Δ = b2-4ac
Δ = -13652-4·5·8
Δ = 1863065
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{-(-1365)-\sqrt{1863065}}{2*5}=\frac{1365-\sqrt{1863065}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1365)+\sqrt{1863065}}{2*5}=\frac{1365+\sqrt{1863065}}{10}
$