X+8/5x=273

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



X+8/5X=273

We move all terms to the left:

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



Domain of the equation: 5X!=0

X!=0/5

X!=0

X∈R



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}
$

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