x-34.1862/x-50=0

Solution for x-34.1862/x-50=0 equation:

x-34.1862/x-50=0


Domain of the equation: x!=0

x∈R


We multiply all the terms by the denominator


x*x-50*x-34.1862=0

We add all the numbers together, and all the variables

-50x+x*x-34.1862=0

Wy multiply elements

x^2-50x-34.1862=0

a = 1; b = -50; c = -34.1862;
Δ = b2-4ac
Δ = -502-4·1·(-34.1862)
Δ = 2636.7448
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{-(-50)-\sqrt{2636.7448}}{2*1}=\frac{50-\sqrt{2636.7448}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+\sqrt{2636.7448}}{2*1}=\frac{50+\sqrt{2636.7448}}{2}
$