.30/x-x=49

Solution for .30/x-x=49 equation:

.30/x-x=49

We move all terms to the left:

.30/x-x-(49)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-1x+.30/x-49=0

We multiply all the terms by the denominator


-1x*x-49*x+.30=0

We add all the numbers together, and all the variables

-49x-1x*x+0.3=0

Wy multiply elements

-1x^2-49x+0.3=0

a = -1; b = -49; c = +0.3;
Δ = b2-4ac
Δ = -492-4·(-1)·0.3
Δ = 2402.2
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{-(-49)-\sqrt{2402.2}}{2*-1}=\frac{49-\sqrt{2402.2}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-49)+\sqrt{2402.2}}{2*-1}=\frac{49+\sqrt{2402.2}}{-2}
$